A300334 Primes of a056240-type 2.

211, 541, 631, 673, 1693, 1801, 2879, 3181, 3271, 3299, 3343, 3571, 3943, 4177, 4441, 4561, 4751, 4783, 4813, 4861, 5147, 5381, 5431, 5501, 5779, 6029, 6197, 6421, 6469, 6521, 6599, 6637, 6883, 7103, 7321, 7369, 7477, 7573, 7603, 7789, 7901, 7963, 8419, 8443, 8641, 8923, 9091, 9587, 9643, 9733, 9781, 9871, 10513

Offset

1,1

Comments

Prime(r) has a056240-type k if A295185(prime(r))=prime(r-k)*A056240(prime(r)-prime(r-k)).

This sequence lists primes having a056240-type k=2, each having form ~2(g1,g2) where g1 is the first gap below prime(r), and g2 is the second (notation explained in A295185). The majority of primes appear to be of a056240-type 1.

Links

Table of n, a(n) for n=1..53.

Example

211 is included because the smallest composite number whose sum of prime factors (with repetition)=211 is 6501=197*33, a multiple of the second prime below 211, not the first. 211~2(12,2) is the smallest prime to have this property. Likewise 541~2(18,2), 1693~2(24,2), 2879~2(18,4), etc.

Crossrefs

Cf. A056240, A295185, A299110, A293652, A299912, A300359.

Sequence in context: A076167 A217620 A289993 * A032659 A098674 A056212

Adjacent sequences: A300331 A300332 A300333 * A300335 A300336 A300337

Keyword

nonn

Author

David James Sycamore, Mar 03 2018

Extensions

Edited by N. J. A. Sloane, Mar 10 2018

Status

approved