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A193864
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Decimal expansion of 2^43112609 - 1, the 47th Mersenne prime A000668(47).
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5
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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, 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, 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
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OFFSET
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12978189,1
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COMMENTS
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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.
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
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LINKS
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FORMULA
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2^43112609 - 1.
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EXAMPLE
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316470269330255923143453723949(...12978129 digits omitted...)887478265780022181166697152511
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MATHEMATICA
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IntegerDigits[2^43112609 - 1][[1 ;; 105]] (* T. D. Noe, Aug 09 2011 *)
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PROG
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(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
(PARI) write("a193864.txt", 2^43112609 - 1) \\ Georg Fischer, Mar 19 2019
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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