cp's OEIS Frontend

A198174 Primes from merging of 10 successive digits in decimal expansion of Pi, in the order of appearance.

%I A198174 #22 Apr 10 2021 02:06:25
%S A198174 5926535897,4197169399,1693993751,7510582097,4825342117,5822317253,
%T A198174 2841027019,8521105559,8954930381,4756482337,2712019091,5432664821,
%U A198174 3266482133,6072602491,5588174881,8815209209,6282925409,2540917153,5903600113,8204665213,3841469519
%N A198174 Primes from merging of 10 successive digits in decimal expansion of Pi, in the order of appearance.
%C A198174 Leading zeros are not permitted, so each term is 10 digits in length.
%C A198174 See A104830 for the variant without this restriction. - _M. F. Hasler_, Nov 01 2014
%H A198174 Vincenzo Librandi, <a href="/A198174/b198174.txt">Table of n, a(n) for n = 1..1000</a>
%t A198174 With[{len=10},Select[FromDigits/@Partition[RealDigits[Pi,10,1000][[1]], len,1],IntegerLength[#]==len&&PrimeQ[#]&]]
%o A198174 (PARI) A198174(n, x=Pi, 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 01 2014
%Y A198174 Cf., for Pi: A198175, A198170, A104824, A104825, A104826, A198171, A198172, A198173, A198174 (this) and A104830 (a variant).
%Y A198174 Cf., for sqrt(2): A198162, A198163, A198164, A198165,A198166, A198167, A198168, A198169, A198161.
%Y A198174 Cf., for e: A104843, A104844, A104845, A104846, A104847, A104848, A104849, A104850, A104851.
%Y A198174 Cf., for the Golden Ratio: A198177, A103773, A103789, A103793, A103808, A103809, A103810, A103811, A103812.
%Y A198174 Cf., for the Euler-Mascheroni constant gamma: A198776, A198777, A198778, A198779, A198780, A198781, A198782, A198783, A198784.
%K A198174 nonn,base
%O A198174 1,1
%A A198174 _Harvey P. Dale_, Oct 21 2011