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500 (five hundred) is the natural number following 499 and preceding 501.

← 499 500 501 →
Cardinalfive hundred
Ordinal500th
(five hundredth)
Factorization22× 53
Greek numeralΦ´
Roman numeralD
Binary1111101002
Ternary2001123
Quaternary133104
Quinary40005
Senary21526
Octal7648
Duodecimal35812
Hexadecimal1F416
Vigesimal15020
Base 36DW36

Contents

Mathematical propertiesEdit

500 is a Harshad number in bases 5, 6, 10, 11, 13, 15 and 16.

Other fieldsEdit

Five hundred is also

Slang namesEdit

  • Monkey (UK slang for £500; USA slang for $500)[1]

Integers from 501 to 599Edit

500sEdit

501Edit

501 = 3 × 167. It is:

  • the sum of the first 18 primes (a term of the sequence OEISA007504).
  • palindromic in bases 9 (6169) and 20 (15120).
  • country calling code for Belize

502Edit

  • 502 = 2 × 251, also a proposed HTTP status code for indicating server is temporarily overloaded, SMTP status code meaning command not implemented
  • country calling code for Guatemala

503Edit

503 is:

504Edit

504 = 23 × 32 × 7. It is:

505Edit

  • 505 = 5 × 101, Harshad number in bases 3, 5, and 6
  • model number of Levi's jeans, model number of U-505
  • New Mexico – Before October 7, 2007, The United States state of New Mexico had a single area code[9] of 505. The state was, and still is, referred to as 'the 505' in slang.
  • country calling code for Nicaragua

506Edit

506 = 2 × 11 × 23. It is:

507Edit

  • 507 = 3 × 132, Harshad number in bases 13 and 14.
  • country calling code for Panama

508Edit

  • 508 = 22 × 127, sum of four consecutive primes (113 + 127 + 131 + 137), Harshad number in base 13.
  • country calling code for Saint-Pierre-et-Miquelon

509Edit

509 is:

510sEdit

510Edit

510 = 2 × 3 × 5 × 17. It is:

  • the sum of eight consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79).
  • the sum of ten consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71).
  • the sum of twelve consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67).
  • a nontotient.
  • a sparsely totient number.[13]
  • a Harshad number in bases 3, 5, 6, 10, 11, 12, 13, 15, and 16

511Edit

511 = 7 × 73. It is:

512Edit

512 = 29. It is:

513Edit

513 = 33 × 19. It is:

  • palindromic in bases 2 (10000000012) and 8 (10018)
  • a Harshad number in bases 3, 4, 5, 7, 9, 10, 13, 14, 15, and 16
  • Area code of Cincinnati, Ohio

514Edit

514 = 2 × 257, it is:

515Edit

515 = 5 × 103, it is:

  • the sum of nine consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73).
  • a Harshad number in bases 3, 4, and 16.

516Edit

516 = 22 × 3 × 43, it is:

517Edit

517 = 11 × 47, it is:

  • the sum of five consecutive primes (97 + 101 + 103 + 107 + 109).
  • a Smith number.[17]
  • a Harshad number in base 12.

518Edit

518 = 2 × 7 × 37, it is:

  • = 51 + 12 + 83 (a property shared with 175 and 598).
  • a sphenic number.
  • a nontotient.
  • an untouchable number.[16]
  • palindromic and a repdigit in bases 6 (22226) and 36 (EE36).
  • a Harshad number in bases 8, 9, 10, 13, and 15.

519Edit

519 = 3 × 173, it is:

  • the sum of three consecutive primes (167 + 173 + 179)
  • palindromic in bases 9 (6369) and 12 (37312).

520sEdit

520Edit

520 = 23 × 5 × 13. It is:

  • an untouchable number.[16]
  • a palindromic number in base 14 (29214).
  • a Harshad number in bases 2, 4, 5, 6, 7, 8, 11, 13, 14, and 16.

521Edit

521 is:

  • a Lucas prime.[18]
  • A Mersenne exponent, i.e. 2521−1 is prime.
  • a Chen prime.
  • an Eisenstein prime with no imaginary part.
  • palindromic in bases 11 (43411) and 20 (16120)

522Edit

522 = 2 × 32 × 29. It is:

  • the sum of six consecutive primes (73 + 79 + 83 + 89 + 97 + 101).
  • a repdigit in bases 28 (II28) and 57 (9957).
  • a Harshad number in bases 2, 4, 10, 13, and 15.

523Edit

523 is:

  • a prime number.
  • the sum of seven consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89).
  • palindromic in bases 13 (31313) and 18 (1B118).

524Edit

524 = 22 × 131

525Edit

525 = 3 × 52 × 7. It is:

  • palindromic in base 10 (52510).
  • a Harshad number in bases 3, 5, 8, 11, 15, and 16.
  • the number of scan lines in the NTSC television standard.
  • a self number.

526Edit

526 = 2 × 263, centered pentagonal number,[19] nontotient, Smith number[17]

527Edit

527 = 17 × 31. it is:

  • palindromic in base 15 (25215).
  • a Harshad number in bases 11 and 16.
  • also, the section of the US Tax Code regulating soft money political campaigning (see 527 groups)

528Edit

528 = 24 × 3 × 11. It is:

  • a triangular number.
  • palindromic in bases 9 (6469) and 17 (1E117).
  • a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, and 16.

529Edit

529 = 232. It is:

530sEdit

530Edit

530 = 2 × 5 × 53. It is:

531Edit

531 = 32 × 59. It is:

  • palindromic in base 12 (38312).
  • a Harshad number in base 10.

532Edit

532 = 22 × 7 × 19. It is:

  • a pentagonal number.[21]
  • a nontotient.
  • palindromic and a repdigit in bases 11 (44411), 27 (JJ27), and 37 (EE37).
  • a Harshad number in bases 4, 8, 15, and 16.

533Edit

533 = 13 × 41. It is:

  • the sum of three consecutive primes (173 + 179 + 181).
  • the sum of five consecutive primes (101 + 103 + 107 + 109 + 113).
  • palindromic in base 19 (19119).
  • a Harshad number in bases 6, 9, 11, and 14.

534Edit

534 = 2 × 3 × 89. It is:

  • a sphenic number.
  • the sum of four consecutive primes (127 + 131 + 137 + 139).
  • a nontotient.
  • palindromic in bases 5 (41145) and 14 (2A214).
  • a Harshad number in bases 3, 4, and 13.

535Edit

535 = 5 × 107. It is:

  • a Smith number.[17]
  • a Harshad number in base 2.

  for  ; this polynomial plays an essential role in Apéry's proof that   is irrational.

535 is used as an abbreviation for May 35, which is used in China instead of June 4 to evade censorship by the Chinese government of references on the Internet to the Tiananmen Square protests of 1989.[22]

536Edit

536 = 23 × 67. It is:

  • the number of ways to arrange the pieces of the ostomachion into a square, not counting rotation or reflection.
  • a refactorable number.[8]
  • the lowest happy number beginning with the digit 5.
  • a Harshad number in bases 3, 5, 8, and 13.

537Edit

537 = 3 × 179, Mertens function (537) = 0

538Edit

538 = 2 × 269. It is:

539Edit

539 = 72 × 11

540sEdit

540Edit

540 = 22 × 33 × 5. It is:

  • an untouchable number.[16]
  • a decagonal number.[23]
  • a repdigit in bases 26 (KK26), 29 (II29), 35 (FF35), 44 (CC44), 53 (AA53), and 59 (9959).
  • a Harshad number in bases 2, 3, 4, 6, 7, 9, 10, 11, 12, 13, 14, and 16.

541Edit

541 is:

Mertens function(541) = 0.

542Edit

542 = 2 × 271. It is:

543Edit

543 = 3 × 181; palindromic in bases 11 (45411) and 12 (39312).

544Edit

544 = 25 × 17. It is:

  • a Harshad number in bases 2, 4, 9, 12, 13, and 16.

545Edit

545 = 5 × 109. It is:

546Edit

546 = 2 × 3 × 7 × 13. It is:

  • the sum of eight consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79 + 83).
  • palindromic in bases 4 (202024), 9 (6669), and 16 (22216).
  • a repdigit in bases 9 and 16.
  • a Harshad number in bases 2, 3, 4, 6, 7, 8, 13, 14, 15, and 16.

547Edit

547 is:

548Edit

548 = 22 × 137. It is:

Also, every positive integer is the sum of at most 548 ninth powers;

549Edit

549 = 32 × 61, It is:

  • a repdigit in bases 13 (33313) and 60 (9960).
  • a Harshad number in bases 6, 7, 13, and 16.

550sEdit

550Edit

550 = 2 × 52 × 11. It is:

551Edit

551 = 19 × 29. It is:

  • the sum of three consecutive primes (179 + 181 + 191).
  • palindromic in base 22 (13122).
  • a Harshad number in base 15.
  • the SMTP status code meaning user is not local

552Edit

552 = 23 × 3 × 23. It is:

  • the sum of six consecutive primes (79 + 83 + 89 + 97 + 101 + 103).
  • the sum of ten consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73).
  • a pronic number.[11]
  • an untouchable number.[16]
  • palindromic in base 19 (1A119).
  • a Harshad number in bases 2, 3, 4, 5, 7, 8, 10, 11, 13, and 16.
  • the model number of U-552.
  • the SMTP status code meaning requested action aborted because the mailbox is full.

553Edit

553 = 7 × 79. It is:

  • the sum of nine consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79).
  • a Harshad number in bases 3, 4, 7, and 8.
  • the model number of U-553
  • the SMTP status code meaning requested action aborted because of faulty mailbox name.

554Edit

554 = 2 × 277. It is:

  • a nontotient.
  • the SMTP status code meaning transaction failed.

Mertens function(554) = 6, a record high that stands until 586.

555Edit

555 = 3 × 5 × 37 is:

556Edit

556 = 22 × 139. It is:

  • the sum of four consecutive primes (131 + 137 + 139 + 149).
  • an untouchable number, because it is never the sum of the proper divisors of any integer.[16]
  • a happy number.
  • a Harshad number in base 2.
  • the model number of U-556; 5.56×45mm NATO cartridge.

557Edit

557 is:

  • a prime number.
  • a Chen prime.
  • an Eisenstein prime with no imaginary part.

558Edit

558 = 2 × 32 × 31. It is:

  • a nontotient.
  • a repdigit in bases 30 (II30) and 61 (9961).
  • a Harshad number in bases 3, 4, 10, 11, 13, and 16.
  • The sum of the largest prime factors of the first 558 is itself divisible by 558 (the previous such number is 62, the next is 993).
  • in the title of the Star Trek: Deep Space Nine episode "The Siege of AR-558"

559Edit

559 = 13 × 43. It is:

  • the sum of five consecutive primes (103 + 107 + 109 + 113 + 127).
  • the sum of seven consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97).
  • a nonagonal number.[32]
  • a centered cube number.[33]
  • palindromic in base 18 (1D118).
  • a Harshad number in bases 7, 8, and 15
  • the model number of U-559.

560sEdit

560Edit

560 = 24 × 5 × 7. It is:

  • a tetrahedral number.[34]
  • a refactorable number.
  • palindromic in bases 3 (2022023) and 6 (23326).
  • a Harshad number in bases 3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, and 16.

561Edit

561 = 3 × 11 × 17. It is:

562Edit

562 = 2 × 281. It is:

  • a Smith number.[17]
  • an untouchable number.[16]
  • the sum of twelve consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71).
  • palindromic in bases 4 (203024), 13 (34313), 14 (2C214), 16 (23216), and 17 (1G117).
  • the number of Native American (including Alaskan) Nations, or "Tribes," recognized by the USA government.

563Edit

563 is:

564Edit

564 = 22 × 3 × 47. It is:

  • the sum of a twin prime (281 + 283).
  • a refactorable number.
  • palindromic in bases 5 (42245) and 9 (6869).
  • a Harshad number in bases 2, 4, 5, 7, and 13.

565Edit

565 = 5 × 113. It is:

  • the sum of three consecutive primes (181 + 191 + 193).
  • a member of the Mian–Chowla sequence.[40]
  • a happy number.
  • palindromic in bases 10 (56510) and 11 (47411).
  • a Harshad number in base 2.

566Edit

566 = 2 × 283. It is:

  • nontotient.
  • a happy number.

567Edit

567 = 34 × 7. It is:

  • palindromic in base 12 (3B312).
  • a Harshad number in bases 3, 4, 7, 9, 14, and 15.

568Edit

568 = 23 × 71. It is:

  • the sum of the first nineteen primes (a term of the sequence OEISA007504).
  • a refactorable number.
  • palindromic in bases 7 (14417) and 21 (16121).
  • a Harshad number in bases 2, 3, 8, and 9.
  • the smallest number whose seventh power is the sum of 7 seventh powers.
  • the room number booked by Benjamin Braddock in the 1967 film The Graduate.
  • the number of millilitres in an imperial pint.
  • the name of the Student Union bar at Imperial College London

569Edit

569 is:

  • a prime number.
  • a Chen prime.
  • a Eisenstein prime with no imaginary part.
  • a strictly non-palindromic number.[39]

570sEdit

570Edit

570 = 2 × 3 × 5 × 19. It is:

  • a Harshad number in bases 2, 5, 6, 8, 9, 15, and 16.

571Edit

571 is:

  • a prime number.
  • a Chen prime.
  • a centered triangular number.[15]
  • the model number of U-571 which appeared in the 2000 movie U-571

572Edit

572 = 22 × 11 × 13. It is:

573Edit

573 = 3 × 191. It is:

574Edit

574 = 2 × 7 × 41. It is:

  • a sphenic number.
  • a nontotient.
  • palindromic in base 9 (7079).
  • a Harshad number in bases 5, 6, 8, 9, 11, and 15.

575Edit

575 = 52 × 23. It is:

  • palindromic in bases 10 (57510) and 13 (35313).
  • a Harshad number in base 12.

576Edit

576 = 26 × 32 = 242. It is:

  • the sum of four consecutive primes (137 + 139 + 149 + 151).
  • a highly totient number.[41]
  • a Smith number.[17]
  • an untouchable number.[16]
  • palindromic in bases 11 (48411), 14 (2D214), and 23 (12123).
  • a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, and 16.
  • four-dozen sets of a dozen, which makes it 4 gross.

577Edit

577 is:

578Edit

578 = 2 × 172. It is:

  • a nontotient.
  • palindromic in base 16 (24216).

579Edit

579 = 3 × 193; it is a ménage number.[43]

580sEdit

580Edit

580 = 22 × 5 × 29. It is:

  • the sum of six consecutive primes (83 + 89 + 97 + 101 + 103 + 107).
  • palindromic in bases 12 (40412) and 17 (20217).
  • a Harshad number in bases 4, 6, 11, 15, and 16.

581Edit

581 = 7 × 83. It is:

  • the sum of three consecutive primes (191 + 193 + 197).
  • a Harshad number in bases 3 and 8.

582Edit

582 = 2 × 3 × 97. It is:

  • a sphenic number.
  • the sum of eight consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83 + 89).
  • a nontotient.
  • a Harshad number in bases 3 and 4.

583Edit

583 = 11 × 53. It is:

  • palindromic in base 9 (7179).
  • a Harshad number in bases 5 and 12.

584Edit

584 = 23 × 73. It is:

  • an untouchable number.[16]
  • the sum of totient function for first 43 integers.
  • a refactorable number.
  • a Harshad number in base 3.

585Edit

585 = 32 × 5 × 13. It is:

  • palindromic in bases 2 (10010010012), 8 (11118), and 10 (58510).
  • a repdigit in bases 8, 38, 44, and 64.
  • the sum of powers of 8 from 0 to 3.
  • a Harshad number in bases 3, 5, 7, 9, 11, 12, 13, and 16.

When counting in binary with fingers, expressing 585 as 1001001001, results in the isolation of the index and little fingers of each hand, "throwing up the horns".

586Edit

586 = 2 × 293.

  • Mertens function(586) = 7 a record high that stands until 1357.
  • it is the number of several popular personal computer processors (such as the Intel pentium).

587Edit

587 is:

  • a prime number.
  • safe prime.[2]
  • a Chen prime.
  • an Eisenstein prime with no imaginary part.
  • the sum of five consecutive primes (107 + 109 + 113 + 127 + 131).
  • palindromic in bases 11 (49411) and 15 (29215).
  • the outgoing port for email message submission.

588Edit

588 = 22 × 3 × 72. It is:

  • a Smith number.[17]
  • palindromic in base 13 (36313).
  • a Harshad number in bases 2, 3, 4, 5, 7, 8, 9, 10, 13, 14, and 15.

589Edit

589 = 19 × 31. It is:

  • the sum of three consecutive primes (193 + 197 + 199).
  • palindromic in base 21 (17121).
  • a Harshad number in bases 11 and 16.

590sEdit

590Edit

590 = 2 × 5 × 59. It is:

  • a sphenic number.
  • a pentagonal number.[21]
  • a nontotient.
  • palindromic in base 19 (1C119).
  • a Harshad number in bases 2, 5, 6, and 14.

591Edit

591 = 3 × 197

592Edit

592 = 24 × 37. It is:

  • palindromic in bases 9 (7279) and 12 (41412).
  • a Harshad number in bases 3, 4, 8, 9, 10, and 13.

593Edit

593 is:

  • a prime number.
  • a Sophie Germain prime.
  • the sum of seven consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101).
  • the sum of nine consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83).
  • an Eisenstein prime with no imaginary part.
  • a balanced prime.[38]
  • a Leyland number.
  • a member of the Mian–Chowla sequence.[40]
  • strictly non-palindromic number.[39]

594Edit

594 = 2 × 33 × 11. It is:

  • the sum of ten consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79).
  • a nontotient.
  • palindromic in bases 5 (43345) and 16 (25216).
  • a Harshad number in bases 4, 6, 8, 10, 12, 13, 1,4 and 16.

595Edit

595 = 5 × 7 × 17. It is:

  • a sphenic number.
  • a triangular number.
  • centered nonagonal number.[44]
  • palindromic in bases 10 (59510) and 18 (1F118).
  • a Harshad number in bases 2, 3, 4, 7, and 8.

596Edit

596 = 22 × 149. It is:

  • the sum of four consecutive primes (139 + 149 + 151 + 157).
  • a nontotient.
  • a Harshad number in base 2.

597Edit

597 = 3 × 199

598Edit

598 = 2 × 13 × 23 = 51 + 92 + 83. It is:

  • a sphenic number.
  • palindromic in bases 4 (211124) and 11 (4A411).
  • a Harshad number in bases 6, 14, and 16.

599Edit

599 is:

  • a prime number.
  • a Chen prime.
  • an Eisenstein prime with no imaginary part.

ReferencesEdit

  1. ^ Evans, I.H., Brewer's Dictionary of Phrase and Fable, 14th ed., Cassell, 1990, ISBN 0-304-34004-9
  2. ^ a b c Sloane, N. J. A. (ed.). "Sequence A005385 (Safe primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  3. ^ that is, a term of the sequence OEISA034961
  4. ^ that is, the first term of the sequence OEISA133525
  5. ^ since 503+2 is a product of two primes, 5 and 101
  6. ^ since it is a prime which is congruent to 2 modulo 3.
  7. ^ Sloane, N. J. A. (ed.). "Sequence A000073 (Tribonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  8. ^ a b c Sloane, N. J. A. (ed.). "Sequence A033950 (Refactorable numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  9. ^ 'Verizon Area Code For New Mexico' http://support.vzw.com/pdf/newmexico_split_map.pdf
  10. ^ Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  11. ^ a b Sloane, N. J. A. (ed.). "Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  12. ^ Sloane, N. J. A. (ed.). "Sequence A100827 (Highly cototient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  13. ^ Sloane, N. J. A. (ed.). "Sequence A036913 (Sparsely totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  14. ^ Sloane, N. J. A. (ed.). "Sequence A061209 (Numbers which are the cubes of their digit sum)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  15. ^ a b Sloane, N. J. A. (ed.). "Sequence A005448 (Centered triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  16. ^ a b c d e f g h i j Sloane, N. J. A. (ed.). "Sequence A005114 (Untouchable numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  17. ^ a b c d e f Sloane, N. J. A. (ed.). "Sequence A006753 (Smith numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  18. ^ Sloane, N. J. A. (ed.). "Sequence A005479 (Prime Lucas numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  19. ^ Sloane, N. J. A. (ed.). "Sequence A005891 (Centered pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  20. ^ Sloane, N. J. A. (ed.). "Sequence A016754 (Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  21. ^ a b Sloane, N. J. A. (ed.). "Sequence A000326 (Pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  22. ^ Larmer, Brook (October 26, 2011). "Where an Internet Joke Is Not Just a Joke". New York Times. Retrieved November 1, 2011.
  23. ^ Sloane, N. J. A. (ed.). "Sequence A001107 (10-gonal (or decagonal) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  24. ^ Sloane, N. J. A. (ed.). "Sequence A031157 (Numbers that are both lucky and prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  25. ^ Sloane, N. J. A. (ed.). "Sequence A003154 (Centered 12-gonal numbers. Also star numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  26. ^ Sloane, N. J. A. (ed.). "Sequence A001844 (Centered square numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  27. ^ Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  28. ^ Sloane, N. J. A. (ed.). "Sequence A003215 (Hex (or centered hexagonal) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  29. ^ Sloane, N. J. A. (ed.). "Sequence A069099 (Centered heptagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  30. ^ Sloane, N. J. A. (ed.). "Sequence A002411 (Pentagonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  31. ^ a b Sloane, N. J. A. (ed.). "Sequence A071395 (Primitive abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  32. ^ Sloane, N. J. A. (ed.). "Sequence A001106 (9-gonal (or enneagonal or nonagonal) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  33. ^ Sloane, N. J. A. (ed.). "Sequence A005898 (Centered cube numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  34. ^ Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  35. ^ Sloane, N. J. A. (ed.). "Sequence A000384 (Hexagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  36. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 14. ISBN 978-1-84800-000-1.
  37. ^ Sloane, N. J. A. (ed.). "Sequence A007540 (Wilson primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  38. ^ a b Sloane, N. J. A. (ed.). "Sequence A006562 (Balanced primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  39. ^ a b c Sloane, N. J. A. (ed.). "Sequence A016038 (Strictly non-palindromic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  40. ^ a b Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  41. ^ Sloane, N. J. A. (ed.). "Sequence A097942 (Highly totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  42. ^ Sloane, N. J. A. (ed.). "Sequence A080076 (Proth primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  43. ^ Sloane, N. J. A. (ed.). "Sequence A000179 (Ménage numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  44. ^ Sloane, N. J. A. (ed.). "Sequence A060544 (Centered 9-gonal (also known as nonagonal or enneagonal) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.