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A202136 Prefixing digits to Mersenne primes to obtain larger primes. 1
13, 17, 131, 4127, 18191, 10131071, 1524287, 362147483647, 152305843009213693951 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The smallest prefixing digits for the 30 first successive Mersenne primes are given in A209385. - Gilbert Mozzo, Mar 07 2012

LINKS

Table of n, a(n) for n=1..9.

Henri Lifchitz and Renaud Lifchitz, PRP Top Records

FORMULA

Mersenne prime+n*10^D  with D=number of digits of the Mersenne prime.

EXAMPLE

For Mersenne4: -1+2^7+4*10^3 = 4127 which is prime.

PROG

PARI : for(n=0, 1e4, if(ispseudoprime(p=-1+2^7+n*10^3), print(p", "))); for the above example related to Mersenne4.

CROSSREFS

Cf. A209385.

Sequence in context: A069853 A175791 A210547 * A123909 A176555 A131019

Adjacent sequences:  A202133 A202134 A202135 * A202137 A202138 A202139

KEYWORD

nonn,base

AUTHOR

Gilbert Mozzo, Dec 12 2011

EXTENSIONS

Three more terms added by Gilbert Mozzo, Mar 07 2012

STATUS

approved

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Last modified May 20 09:24 EDT 2013. Contains 225458 sequences.