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A198161 Primes from merging of 10 successive digits in decimal expansion of sqrt(2). 34
4142135623, 8872420969, 9698078569, 7537694807, 7973799073, 7846210703, 2644121497, 9935831413, 6592750559, 7010955997, 1472851741, 5251407989, 2533965463, 5339654633, 6152583523, 1525835239, 3950547457, 5750287759, 5996172983, 4084988471, 6668713013 (list; graph; refs; listen; history; text; internal format)



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


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


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


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.

Sequence in context: A234051 A038831 A038820 * A244064 A255344 A186590

Adjacent sequences:  A198158 A198159 A198160 * A198162 A198163 A198164




Harvey P. Dale, Oct 21 2011



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Last modified December 11 15:30 EST 2018. Contains 318049 sequences. (Running on oeis4.)