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A112723 a(n) is the smallest number m such that the first n primes is the set of all distinct prime divisors of m and for i=1, 2,...,n prime(i)*m-1 is prime. 3
2, 6, 30, 420, 2587200, 6787314293760 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

LINKS

Carlos Rivera, The Prime Puzzles & Problems connection.

EXAMPLE

a(6)=6787314293760 because {2,3,5,7,11,13}={prime(1),prime(2),..., prime(6)} is the set of prime factors of 6787314293760,

all six numbers 2*6787314293760-1,3*6787314293760-1, 5*6787314293760-1,7*6787314293760-1,11*6787314293760-1 & 13*6787314293760-1 are prime and 6787314293760 is the first number with such properties.

CROSSREFS

Cf. A092023, A092024.

Sequence in context: A001684 A076926 A092023 * A074777 A007280 A102927

Adjacent sequences:  A112720 A112721 A112722 * A112724 A112725 A112726

KEYWORD

hard,nonn

AUTHOR

Farideh Firoozbakht (mymontain(AT)yahoo.com), Nov 05 2005

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Last modified February 17 06:22 EST 2012. Contains 205992 sequences.