A198163 Primes from merging of 3 successive digits in decimal expansion of sqrt(2).

421, 373, 887, 569, 967, 769, 317, 797, 379, 907, 107, 503, 641, 157, 727, 229, 149, 709, 659, 557, 571, 701, 109, 599, 997, 971, 919, 523, 839, 397, 251, 463, 331, 829, 523, 239, 547, 457, 877, 599, 617, 983, 557, 337, 857, 701, 113, 997, 503, 277, 823, 929

Offset: 1

Author

Harvey P. Dale, Oct 21 2011

Keywords

• nonn
• base

Comments

Leading zeros are not permitted, so each term is 3 digits in length.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..2000

Crossrefs

Cf. A103773, A103789, A103793, A103808, A103809, A103810, A103811, A103812, A104824, A104825, A104826, A104843, A104844, A104845, A104846, A104847, A104848, A104849, A104850, A198161, A198162, A198164, A198165, A198166, A198167, A198168, A198169, A198170, A198171, A198172, A198173, A198174, A198175, A104851, A198177.

Programs

Mathematica

With[{len=3},Select[FromDigits/@Partition[RealDigits[Sqrt[2],10,1000][[1]], len,1],IntegerLength[#]==len&&PrimeQ[#]&]]