

A092023


a(n) is the smallest number m such that m has n distinct prime divisors and if p is a prime divisor of m then p*m  1 is prime.


3



2, 6, 30, 420, 32550, 410970, 55137810, 1350063330, 30644204010, 9396949341780, 6805591029957720
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OFFSET

1,1


COMMENTS

2004 has this property, i.e., 2004 = 2^2*3*167, the three numbers 2*20041,3*20041 and 167*20041 are primes. But 2004 is not in the sequence because 2004 is not the smallest number with such property.


LINKS



EXAMPLE

a(7) = 55137810 because 55137810 = 2*3*5*7*13*19*1063 and all the seven numbers 2*551378101, 3*551378101, 5*551378101, 7*551378101, 13*551378101, 19*551378101 and 1063*551378101 are prime numbers and 55137810 is the smallest number m with such property.


CROSSREFS



KEYWORD

more,nonn


AUTHOR



EXTENSIONS



STATUS

approved



