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A093155 Primes resulting from serial multiplication of even composites, minus 1. 3
3, 23, 191, 23039, 322559, 5160959, 40874803199, 25505877196799 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Primes of the form 2^n*(n+1)!-1.

FORMULA

Starting with 4 multiply even composites until the product minus 1 equals a prime

EXAMPLE

a(1) = 3 = 2*2!-1

a(2) = 23 = 2^2*3!-1

a(3) = 191 = 2^3*4!-1

a(4) = 23039 = 2^5*6!-1

a(5) = 322559 = 2^6*7!-1

a(6) = 5160959 = 2^7*8!-1

a(7) = 40874803199 = 2^10*11!-1

a(8) = 25505877196799 = 2^12*13!-1

a(9) = 2^101*102!-1 is too large to include.

a(10) = 2^117*118!-1, a(11) = 2^227*228!-1. - Jorge Coveiro

PROG

(PARI) for(x=1, 500, if(isprime(2^x*(x+1)!-1), print(x))) - Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Dec 24 2004

CROSSREFS

Cf. A093154.

Sequence in context: A144479 A074579 A060880 * A096649 A135423 A114017

Adjacent sequences:  A093152 A093153 A093154 * A093156 A093157 A093158

KEYWORD

easy,nonn

AUTHOR

Enoch Haga (Enokh(AT)comcast.net), Mar 25 2004

EXTENSIONS

Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Mar 27 2004

The next term is too large to include.

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Last modified February 16 06:27 EST 2012. Contains 205860 sequences.