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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)
 OFFSET 1,1 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 MATHEMATICA With[{len=10}, Select[FromDigits/@Partition[RealDigits[Sqrt[2], 10, 1000][[1]], len, 1], IntegerLength[#]==len&&PrimeQ[#]&]] PROG (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 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. Sequence in context: A234051 A038831 A038820 * A244064 A255344 A186590 Adjacent sequences: A198158 A198159 A198160 * A198162 A198163 A198164 KEYWORD nonn,base AUTHOR Harvey P. Dale, Oct 21 2011 STATUS approved

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Last modified May 23 16:36 EDT 2024. Contains 372765 sequences. (Running on oeis4.)