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A198174 Primes from merging of 10 successive digits in decimal expansion of Pi, in the order of appearance. 20
5926535897, 4197169399, 1693993751, 7510582097, 4825342117, 5822317253, 2841027019, 8521105559, 8954930381, 4756482337, 2712019091, 5432664821, 3266482133, 6072602491, 5588174881, 8815209209, 6282925409, 2540917153, 5903600113, 8204665213, 3841469519 (list; graph; refs; listen; history; text; internal format)
Leading zeros are not permitted, so each term is 10 digits in length.
See A104830 for the variant without this restriction. - M. F. Hasler, Nov 01 2014
With[{len=10}, Select[FromDigits/@Partition[RealDigits[Pi, 10, 1000][[1]], len, 1], IntegerLength[#]==len&&PrimeQ[#]&]]
(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
Cf., for Pi: A198175, A198170, A104824, A104825, A104826, A198171, A198172, A198173, A198174 (this) and A104830 (a variant).
Cf., for the Golden Ratio: A198177, A103773, A103789, A103793, A103808, A103809, A103810, A103811, A103812.
Cf., for the Euler-Mascheroni constant gamma: A198776, A198777, A198778, A198779, A198780, A198781, A198782, A198783, A198784.
Sequence in context: A032433 A225036 A104830 * A034646 A234378 A046894
Harvey P. Dale, Oct 21 2011

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Last modified December 8 23:37 EST 2023. Contains 367681 sequences. (Running on oeis4.)