A198161 Primes from merging of 10 successive digits in decimal expansion of sqrt(2).

4142135623, 8872420969, 9698078569, 7537694807, 7973799073, 7846210703, 2644121497, 9935831413, 6592750559, 7010955997, 1472851741, 5251407989, 2533965463, 5339654633, 6152583523, 1525835239, 3950547457, 5750287759, 5996172983, 4084988471, 6668713013

Offset: 1

Author

Harvey P. Dale, Oct 21 2011

Keywords

• nonn
• base

Comments

Leading zeros are not permitted, so each term is 10 digits in length.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

For sqrt(2), see also A198162, A198163, A198164, A198165,A198166, A198167, A198168, A198169, A198161 (this sequence).

For e, see A104843, A104844, A104845, A104846, A104847, A104848, A104849, A104850, A104851.

For Pi, see A198175, A198170, A104824, A104825, A104826, A198171, A198172, A198173, A198174.

For the Golden Ratio, see A198177, A103773, A103789, A103793, A103808, A103809, A103810, A103811, A103812.

For the Euler-Mascheroni constant gamma, see A198776, A198777, A198778, A198779, A198780, A198781, A198782, A198783, A198784.

Programs

Mathematica

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

PARI

A198161(n, x=sqrt(2), m=10, silent=0)={m=10^m; for(k=1, default(realprecision), (isprime(p=x\.1^k%m)&&p*10>m)||next; silent||print1(p", "); n--||return(p))} \\ The optional arguments can be used to produce other sequences of this series (cf. Crossrefs). Use e.g. \p999 to set precision to 999 digits. - M. F. Hasler, Nov 02 2014