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A300334 Primes of a056240-type 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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 13 16:22 EDT 2020. Contains 335688 sequences. (Running on oeis4.)