A348578 - OEIS

A348578

Primes that begin a record list of consecutive primes whose sum of any 2 consecutive terms is divisible by 3.

5, 89, 809, 3954889, 15186319, 77011289, 288413159, 62585146739, 114058236679, 143014298809, 2320700383121, 2942277160583, 4386778243843, 16104860854333, 23171469790747

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OFFSET

1,1

COMMENTS

The Rivera link gives the first 15 terms.

LINKS

Table of n, a(n) for n=1..15.

Carlos Rivera, Puzzle 1059 Set of consecutive primes such that..., The Prime Puzzles and Problems Connection.

EXAMPLE

A001043 begins as (5, 8, 12, 18, 24, 30, 36, 42, 52) where 7 consecutive terms are multiple of 3 starting at 3rd term, corresponding to 5=prime(3), so 5 is the 1st term of this sequence.

MATHEMATICA

p=2; t=r=0; Monitor[Do[p=NextPrime[p]; t=0; While[Mod[p+NextPrime@p, 3]==0, p=NextPrime@p; t++]; If[t>r, Print[NextPrime[p, -t]]; r=t], {n, 10^14}], p] (* Giorgos Kalogeropoulos, Oct 24 2021 *)

CROSSREFS

Cf. A001043, A253969.

Sequence in context: A167735 A221517 A264247 * A360064 A067257 A134497

Adjacent sequences: A348575 A348576 A348577 * A348579 A348580 A348581

KEYWORD

nonn,more

AUTHOR

Michel Marcus, Oct 24 2021

STATUS

approved