Search: id:A092024
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%I A092024
%S A092024 2,6,354,210,43860,463980,189583590,6958972020,200007607800
%N A092024 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.
%H A092024 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_334.htm">
               The Prime Puzzles & Problems connection</a>.
%e A092024 a(7)=189583590 because 189583590=2*3*5*7*41*97*227, all the seven numbers 
               2*189583590+1, 3*189583590+1, 5*189583590+1, 7*189583590+1, 41*189583590+1, 
               97*189583590+1 and 227*189583590+1 are prime numbers and 189583590 
               is the smallest number m with such property.
%Y A092024 Cf. A092023.
%Y A092024 Cf. A112723, A112724.
%Y A092024 Sequence in context: A164829 A028337 A135014 this_sequence A069261 A053608 
               A123261
%Y A092024 Adjacent sequences: A092021 A092022 A092023 this_sequence A092025 A092026 
               A092027
%K A092024 more,nonn
%O A092024 1,1
%A A092024 Farideh Firoozbakht (mymontain(AT)yahoo.com), Feb 19 2004

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