A369897 - OEIS

A369897

Numbers k such that k and k + 1 each have 10 prime divisors, counted with multiplicity.

3290624, 4122495, 4402431, 5675264, 6608384, 6890624, 7914752, 8614592, 9454400, 11553920, 12613887, 13466816, 14493248, 14853375, 15473024, 16719615, 17494784, 18272384, 18309375, 22784895, 24890624, 25200800, 25869375, 25957503, 26903744, 26921727, 27510272, 28350080, 29761424, 31802624

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OFFSET

1,1

COMMENTS

Numbers k such that k and k + 1 are in A046314.

If a and b are coprime terms of A046312, one of them even, then Dickson's conjecture implies there are infinitely many terms k where k/a and (k+1)/b are primes.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

a(5) = 6608384 is a term because 6608384 = 2^9 * 12907 and 6608385 = 3^6 * 5 * 7^2 * 37 each have 10 prime divisors, counted with multiplicity.

MAPLE

with(priqueue):

R:= NULL: count:= 0:

initialize(Q); r:= 0:

insert([-2^10, [2$10]], Q);

while count < 30 do

T:= extract(Q);

if -T[1] = r + 1 then