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A105383 Primes between 10^9 and 2^31 obtained from merging 10 successive digits in the decimal expansion of zeta(2) = Pi^2/6, taken modulo 2^32. 3
1902619757, 1896233719, 2025479923, 1979084773, 1834487573, 2069040007, 1357689757, 1422433483, 1421193281, 1865610371, 1664088953, 1716574481, 1524418627, 2018846497, 2028620161, 1384352219, 1828868887, 1485949159 (list; graph; refs; listen; history; text; internal format)



Erroneous version of A225143.

The author must have used signed 32-bit integers to store 10 successive digits of zeta(2). This is the sequence you get by taking the 10-digit numbers modulo 2^32 and then list primes between 10^9 and 2^31 = 2147483648. - Jens Kruse Andersen, Sep 15 2014


Table of n, a(n) for n=1..18.

Simon Plouffe, 10000 digits of Zeta(2)

Eric Weisstein, Riemann Zeta Function


(PARI) A105383(n, x=Pi^2/6, m=10, silent=0)={m=10^m; for(k=1, default(realprecision), (isprime(p=x\.1^k%m%2^32)&&p*10>m&&p<2^31)||next; silent||print1(p", "); n--||return(p))} \\  Use e.g. \p999 to set precision to 999 digits. - M. F. Hasler, Nov 01 2014


Cf. A103752 (a similar erroneous version).

Cf. (for Pi) A198175, A198170, A104824, A104825, A104826, A198171, A198172, A198173, A198174 and A104830 (a variant).

Cf. (for e) A104843, A104844, A104845, A104846, A104847, A104848, A104849, A104850, A104851.

Cf. (for sqrt(2)) A198162, A198163, A198164, A198165, A198166, A198167, A198168,A198169, A198161.

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: A263562 A204813 A103752 * A233002 A165075 A034252

Adjacent sequences:  A105380 A105381 A105382 * A105384 A105385 A105386




Andrew G. West (WestA(AT)wlu.edu), Apr 03 2005


Definition updated by M. F. Hasler, Nov 01 2014



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Last modified April 3 22:48 EDT 2020. Contains 333207 sequences. (Running on oeis4.)