cp's OEIS Frontend

A193864 Decimal expansion of 2^43112609 - 1, the 47th Mersenne prime A000668(47).

%I A193864 #30 Jun 04 2021 10:51:55
%S A193864 3,1,6,4,7,0,2,6,9,3,3,0,2,5,5,9,2,3,1,4,3,4,5,3,7,2,3,9,4,9,3,3,7,5,
%T A193864 1,6,0,5,4,1,0,6,1,8,8,4,7,5,2,6,4,6,4,4,1,4,0,3,0,4,1,7,6,7,3,2,8,1,
%U A193864 1,2,4,7,4,9,3,0,6,9,3,6,8,6,9,2,0,4,3,1,8,5,1,2,1,6,1,1,8,3,7,8,5,6,7,2,6
%N A193864 Decimal expansion of 2^43112609 - 1, the 47th Mersenne prime A000668(47).
%C A193864 This number is very large, containing 12978189 digits. Edson Smith discovered this prime number on August 26, 2008 within the GIMPS framework. Landon Curt Noll calculated the decimal expansion of this prime number. It is a Mersenne prime.
%C A193864 This 47th Mersenne prime (cf. A000043) is remarkable since it was found before two smaller Mersenne primes, one in the following month (September 2008) and another one in April 2009. It remained the largest known prime until January 2013, when the 48th known Mersenne prime was found. - _M. F. Hasler_, May 22 2014
%H A193864 GIMPS, <a href="https://www.mersenne.org/primes/">List of Known Mersenne Prime Numbers</a>
%H A193864 OEIS Wiki, <a href="/wiki/Mersenne_primes">Mersenne primes</a> (with a list of similar sequences)
%F A193864 2^43112609 - 1.
%e A193864 316470269330255923143453723949(...12978129 digits omitted...)887478265780022181166697152511
%t A193864 IntegerDigits[2^43112609 - 1][[1 ;; 105]] (* _T. D. Noe_, Aug 09 2011 *)
%o A193864 (PARI) A193864_list(Nmax)={default(realprecision,Nmax+5);digits(10^frac(43112609*log(2)/log(10))\.1^Nmax)} \\ Use digits(x)=eval(Vec(Str(x))) in older PARI versions. - _M. F. Hasler_, Mar 04 2012, updated May 22 2014
%o A193864 (PARI) write("a193864.txt", 2^43112609 - 1) \\ _Georg Fischer_, Mar 19 2019
%Y A193864 Cf. A000043 (main entry), A000668, A028335 (lengths).
%K A193864 nonn,cons,fini
%O A193864 12978189,1
%A A193864 _Kausthub Gudipati_, Aug 07 2011
%E A193864 Name changed by _Georg Fischer_, Mar 19 2019