A364435 The first term in a run of at least 4 consecutive numbers each with exactly 5 distinct prime factors (i.e. belong to A051270).
21871365, 37055184, 37227993, 39272583, 41205603, 43067463, 44012682, 44126949, 47761635, 48806274, 49362234, 49613484, 50582103, 52953795, 54244068, 60529077, 60988653, 61042069, 62319465, 63850344, 66068793, 66709683, 66710004, 67874079, 67974312, 68294148, 68529900
Offset: 1
Keywords
Examples
21871365 is in the sequence as it starts a run of at least 4 consecutive numbers each with exactly 5 distinct prime factors. That is each of 21871365 = 3 * 5 * 29 * 137 * 367, 21871365 + 1 = 21871366 = 2 * 11 * 37 * 97 * 277, 21871365 + 2 = 21871367 = 7*17*23*61*131, 21871365 + 3 = 21871368 = 2^3 * 3^2 * 31 * 41 * 239 have 5 distinct prime factors.
Programs
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PARI
upto(n) = {my(res = List(), streak = 0); n+=3; forfactored(i = 1, n, if(omega(i[2]) == 5, streak++; if(streak >= 4, listput(res, i[1]-3)), streak = 0)); res}