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A249011 Smallest prime(i) such that the constellation of the n following prime gaps is the same constellation as the gaps following prime(i+n). 2
3, 5, 59, 839, 541, 60453409 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
"Constellation" in the title means that not only the set of the prime gaps after the two primes is the same, but the order of the prime gaps must also be preserved.
LINKS
EXAMPLE
a(1)=3 as the prime gap [2] is repeated in the same order for 3->5 and 5->7.
a(2)=5 as the prime gaps [2, 4] are repeated for 5->7->11 and 11->13->17.
a(4)=839 as the prime gaps [14, 4, 2, 4] are repeated for the 2 consecutive sets of consecutive primes 839->853->857->859->863 and 863->877->881->883->887.
PROG
(PARI) findspg(n, vpg) = {for (k=1, #vpg-2*n, pga = vector(n, i, vpg[k+i-1]); pgb = vector(n, i, vpg[k+n+i-1]); if (pga==pgb, return (k)); ); }
lista(nn=6, pp=10000000) = {vp = primes(pp); vpg = vector(pp-1, i, vp[i+1] - vp[i]); for (n=1, nn, ip = findspg(n, vpg); if (ip>0, print1(prime(ip), ", ")); ); } \\ Michel Marcus, Oct 25 2014
CROSSREFS
Cf. A001223 (prime gaps), A249012 (order of the prime gaps not considered).
Sequence in context: A049190 A174920 A158314 * A261533 A118477 A320082
KEYWORD
nonn,more
AUTHOR
Abhiram R Devesh, Oct 18 2014
STATUS
approved

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Last modified April 21 00:22 EDT 2024. Contains 371850 sequences. (Running on oeis4.)