

A300334


Primes of a056240type 2.


3



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
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OFFSET

1,1


COMMENTS

Prime(r) has a056240type k if A295185(prime(r))=prime(rk)*A056240(prime(r)prime(rk)).
This sequence lists primes having a056240type 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 a056240type 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



