A361262 - OEIS

A361262

Numbers k such that k+i^2, i=0..6 are all semiprimes.

3238, 4162, 4537, 13918, 16837, 17857, 18673, 24553, 55477, 62353, 78457, 84358, 92878, 102838, 106813, 129838, 135853, 140002, 142822, 146722, 148318, 151957, 166177, 180013, 184213, 187933, 194338, 210637, 214393, 231757, 242698, 271198, 274393, 305677

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..34.

EXAMPLE

3238 is a term because 3238=2*1619; 3239=41*79; 3242=2*1621; 3247=17*191; 3254=2*1627; 3263=13*251; 3274=2*1637.

MAPLE

q:= n-> andmap(x-> numtheory[bigomega](x)=2, [n+i^2$i=0..6]):

select(q, [$1..400000])[]; # Alois P. Heinz, Mar 06 2023

PROG

(PARI) isok(k) = sum(i=0, 6, bigomega(k+i^2)==2) == 7;