A267875 Decimal expansion of Mersenne prime 2^74207281 - 1.

3, 0, 0, 3, 7, 6, 4, 1, 8, 0, 8, 4, 6, 0, 6, 1, 8, 2, 0, 5, 2, 9, 8, 6, 0, 9, 8, 3, 5, 9, 1, 6, 6, 0, 5, 0, 0, 5, 6, 8, 7, 5, 8, 6, 3, 0, 3, 0, 3, 0, 1, 4, 8, 4, 8, 4, 3, 9, 4, 1, 6, 9, 3, 3, 4, 5, 5, 4, 7, 7, 2, 3, 2, 1, 9, 0, 6, 7, 9, 9, 4, 2, 9, 6, 8, 9, 3

Offset: 22338618

Author

Felix Fröhlich, Jan 21 2016

Keywords

• nonn
• cons
• fini

Comments

As of January 7, 2016, 2^74207281 - 1 is the largest known prime number and the 49th known Mersenne prime.

Links

• C. Caldwell, GIMPS Project Discovers Largest Known Prime Number: 2^74,207,281-1
• C. Caldwell, 2^74207281 - 1

Crossrefs

Cf. A000043, A000668, A089065, A089578, A117853, A193864.

Programs

Mathematica

IntegerDigits[2^74207281 - 1][[;;100]] (* Paolo Xausa, Apr 05 2024 *)

PARI

/* adapted from Hasler's PARI program in A193864 */
list(Nmax) = {default(realprecision, Nmax+5); digits(10^frac(74207281*log(2)/log(10))\.1^Nmax)}
list(50) \\ print initial 50 digits

Python

from gmpy2 import mpz
def A267875(n): return int((mpz(2)**74207281-1)//mpz(10)**(44677235-n) % 10) # Chai Wah Wu, Jun 07 2021