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 A078870 Decimal concatenations of the 38 quintuples (d1,d2,d3,d4,d5) with elements in {2,4,6} for which there exists a prime p >= 7 such that the differences between the 6 consecutive primes starting with p are (d1,d2,d3,d4,d5). 5
 24246, 24626, 24662, 26424, 26426, 26462, 26466, 26642, 26646, 26664, 42424, 42462, 42466, 42646, 46246, 46264, 46266, 46626, 46662, 62462, 62642, 62646, 62664, 62666, 64242, 64246, 64264, 64624, 64626, 64662, 64666, 66264, 66266, 66424, 66462, 66466, 66626, 66646 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..38. EXAMPLE 66646 is in the sequence because 3301, 3307, 3313, 3319, 3323 and 3329 are consecutive primes with differences (6,6,6,4,6). MATHEMATICA With[{k = 5}, FromDigits /@ Select[Tuples[Range[2, 6, 2], k], Function[m, Count[Range[k - 1, 10^4], n_ /; Times @@ Boole@ Map[PrimeQ, Prime@ n + Accumulate@ m] == 1] > 0]]] (* Michael De Vlieger, Mar 25 2017 *) (* or *) FromDigits /@ Union@ Select[ Partition[ Differences@ Prime[Range[4, 9000]], 5, 1], Max@ # <= 6 &] (* Giovanni Resta, Mar 25 2017 *) CROSSREFS Cf. A078868, A078869. Sequence in context: A309018 A253465 A251154 * A154069 A318630 A194721 Adjacent sequences: A078867 A078868 A078869 * A078871 A078872 A078873 KEYWORD fini,full,base,nonn AUTHOR Labos Elemer, Dec 19 2002 EXTENSIONS Edited by Dean Hickerson, Dec 20 2002 STATUS approved

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Last modified September 29 22:31 EDT 2023. Contains 365781 sequences. (Running on oeis4.)