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A104944 Primes from merging of 10 successive digits in decimal expansion of the Euler-Mascheroni constant. 3
7215664901, 1566490153, 3286060651, 6060651209, 9008240243, 4310421593, 2159335939, 9235988057, 8486772677, 8070824809, 2836224173, 3622417399, 3997644923, 2582470949, 6008735203, 3151776611, 5015079847, 7400299213, 3139925401, 3754139549, 7984234877 (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. - Harvey P. Dale, Oct 30 2011

See A198784 for the variant without this restriction.-- The original version read (1566490153, 1290642131, 1386514643, 1851726733, 1383679133, 1706757499, 1072945781, 1015442651, 1403043203, 1100525291, 1332985747, 1866475913, 1834810931, 1887149587, 1197399197, 1956311131, 1449885007, 2137384231, ...). These terms are obtained when using signed 32-bit integers, i.e., take the 10-digit strings modulo 2^32, and select the primes between 10^9 and 2^31. - M. F. Hasler, Nov 01 2014

LINKS

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

Euler-Mascheroni Constant as explained at MathWorld.com.

The first 170,000 digits of the Euler Constant as calculated by Jon Borwein at WorldWideSchool.org.

MATHEMATICA

egp[len_]:=Module[{egterms=FromDigits/@Partition[RealDigits[EulerGamma, 10, 1000][[1]], len, 1]}, Select[egterms, IntegerLength[#]==len&&PrimeQ[#]&]]; egp[10] (* Harvey P. Dale, Oct 30 2011 *)

PROG

(PARI) list_A104944(x=Euler, m=10)=m=10^m; for(k=1, default(realprecision), isprime(p=x\.1^k%m)&&p*10>m&&print1(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

CROSSREFS

Cf. A198776, A198777, A198778, A198779, A198780, A198781, A198782, A198783, A198784.

See also, for e: A104843, A104844, A104845, A104846, A104847, A104848, A104849, A104850, A104851; for Pi: A104824, A104825, A104826,  A198170, A198171, A198172, A198173, A198175; for sqrt(2): A198161, A198162, A198163, A198164, A198165, A198166, A198167, A198168, A198169; for the golden ratio phi = (sqrt(5)-1)/2: A103773, A103789, A103793, A103808, A103809, A103810, A103811, A103812, A198177.

Sequence in context: A216867 A095926 A198784 * A257899 A199632 A104851

Adjacent sequences:  A104941 A104942 A104943 * A104945 A104946 A104947

KEYWORD

nonn,base

AUTHOR

Andrew G. West (WestA(AT)wlu.edu), Mar 29 2005

EXTENSIONS

Corrected and extended by Harvey P. Dale, Oct 30 2011

STATUS

approved

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Last modified March 30 18:30 EDT 2017. Contains 284302 sequences.