A364436 Numbers that begin a run of at least 4 consecutive integers having exactly 6 distinct prime factors each (i.e., belonging to A074969).

7933641735, 9338016258, 9827010633, 10744118592, 10808993635, 10928652579, 13302330390, 15300915705, 16088310249, 16408242849, 18685633314, 18721086153, 19136152098, 19819102092, 20592248544, 20826707802, 21241193334, 21296349633, 21531380583, 21727956885, 21823418253

Offset: 1

Author

David A. Corneth, Jul 24 2023

Keywords

• nonn

Examples

			7933641735 is in the sequence as it starts a run of at least 4 consecutive integers each of which has exactly 6 distinct prime factors.
That is, each of 7933641735 = 3 * 5 * 23 * 83 * 461 * 601,
7933641735 + 1 = 7933641736 = 2^3 * 17 * 47 * 59 * 109 * 193,
7933641735 + 2 = 7933641737 = 7 * 29 * 31 * 41 * 97 * 317,
7933641735 + 3 = 2 * 3 * 11 * 89 * 563 * 2399 has 6 distinct prime factors.
		

Crossrefs

Cf. A074969, A364265.

Programs

PARI

upto(n) = {my(res = List(), streak = 0); n+=3; forfactored(i = 1, n, if(omega(i[2]) == 6, streak++; if(streak >= 4, listput(res, i[1]-3)), streak = 0)); res}

Extensions

More terms from Jinyuan Wang, Aug 12 2023