cp's OEIS Frontend

A254787 a(n)= least initial term of n consecutive primes {p(m),..,p(m+n-1)} such that all numbers {1+p(m),..,1+p(m+n-1)} are a product of the same number k primes, where p(m) is m-th prime A000040(m).

%I A254787 #19 Feb 17 2015 00:22:08
%S A254787 2,3,139,557,3821,53609,179659,7190917,3599100,16687573,20394197,
%T A254787 101439558
%N A254787 a(n)= least initial term of n consecutive primes {p(m),..,p(m+n-1)} such that all numbers {1+p(m),..,1+p(m+n-1)} are a product of the same number k primes, where p(m) is m-th prime A000040(m).
%C A254787 Corresponding values of m are: 1,2,34,102,530,5462,16309,488739,3599100,308495917,20394197,101439558
%C A254787 Corresponding values of k are: 1,2,4,4,5,4,5,4,5,4,5,5
%C A254787 A023514(i=m,..,m+n-1) are of the same value.
%e A254787 a(2)=3, because {p(2),p(3)}={3,5}, and {4,6}={2^2,2*3}, k=2;
%e A254787 a(3)=139, because {p(34),p(35),p(36)}={139,149,151}, and {140,150,152}={2^2*5*7,2*3*5^2,2^3*19}, k=4.
%Y A254787 Cf. A000040, A023514.
%K A254787 nonn
%O A254787 1,1
%A A254787 _Zak Seidov_, Feb 15 2015