A397411 Smallest number k such that bigomega(k+i) and omega(k+i), for i=0..n, but not for i=n+1, are both prime.

6, 14, 20, 75, 74, 115, 114, 298, 1240, 1239, 1238, 10741, 13273, 62236, 62235, 102085, 1290984, 6692394, 10323095, 10323094, 15808857, 61111603, 164877079, 603332885, 1356788897, 1356788896, 1356788895, 1356788894, 1356788893, 6409098262

Offset

0,1

Comments

a(28) = 1356788893, a(29) = 6409098262. a(n) is nonprime. Let p be the largest prime < a(n). Let q be the smallest prime >= a(n). Then q - p >= n + 2. - David A. Corneth, Jun 24 2026

Links

Table of n, a(n) for n=0..29.

Example

a(0) = 6 as both bigomega(6+0) = 2 and omega(6+0) = 2 are prime but not both bigomega(6+0+1) and omega(6+0+1) are prime. 6 is the smallest number having this property. - David A. Corneth, Jun 24 2026
a(1) = 14 as bigomega(14) = 2 and omega(14) = 2 are both prime, bigomega(15) = 2 and omega(15) = 2 are both prime and bigomega(16) = 4 is not prime and omega(16) = 1 is not prime. 14 is the smallest number having this property.

Crossrefs

Cf. A001221, A001222, A396852.

Sequence in context: A064708 A064709 A371396 * A118129 A046712 A162823

Adjacent sequences: A397406 A397407 A397408 * A397414 A397416 A397418

Keyword

nonn,more,new

Author

Jean-Marc Rebert, Jun 24 2026

Status

approved