A226768
Least prime in a string of exactly n consecutive primes all differing by 3-almost primes (A014612).
Original entry on oeis.org
2, 89, 199, 4679, 1499, 24593, 118801, 318569, 1055741, 2253311, 3695513, 4559983, 22790969, 29625383, 85780433, 108547289, 1092631789, 520956851, 23522240041, 11229387053, 50466176303, 325923513479, 57958489439, 537724352057, 932937059897, 1970378236613, 12522644028841
Offset: 1
a(3) = 199 since (199, 211, 223) is the first triple (which cannot be extended to a quadruplet) of consecutive primes whose first differences are 3-almost primes, 211-199 = 223-211 = 2^2*3.
A226769
Least prime in a string of exactly n consecutive primes all differing by triangular numbers.
Original entry on oeis.org
3, 2, 47, 1171, 241, 5101, 927001, 94415941, 662592253, 310005271, 148073185207, 52913532613, 3074003451811
Offset: 1
The 12 gaps following a(13) = 3074003451811 are 6, 6, 6, 78, 6, 6, 78, 36, 28, 66, 6, 6, and 6=T(3), 78=T(12), 36=T(8), 28=T(7) and 66=T(11).
A226840
Least prime in a string of exactly n consecutive primes all differing by a square.
Original entry on oeis.org
3, 2, 9547, 255763, 9148351, 189637381, 78793186597, 1312901933341
Offset: 1
The 7 gaps following a(8) = 1312901933341 are the squares 36, 144, 36, 36, 4, 36, 36.
Showing 1-3 of 3 results.
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