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 A309334 Lucky prime gaps: differences between consecutive lucky primes. 3
 4, 6, 18, 6, 6, 24, 6, 6, 48, 24, 12, 30, 18, 12, 18, 42, 24, 24, 18, 18, 42, 12, 12, 30, 24, 54, 36, 24, 12, 6, 12, 12, 30, 54, 12, 30, 18, 36, 60, 54, 54, 6, 12, 12, 18, 48, 6, 24, 6, 78, 30, 18, 42, 12, 156, 12, 72, 24, 12, 18, 66, 30, 30, 54, 24, 30, 48, 54 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Since (except for 3) all lucky primes == 1 (mod 6), a(n) >= 6 for n >= 2. - Robert Israel, Jul 26 2019 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 FORMULA a(n) = A031157(n+1) - A031157(n). EXAMPLE a(1) = 4 because difference between the first (3) and second (7) lucky prime is 4. a(2) = 6 because difference between 7 and 13 is 6. MAPLE N:= 10^4: # for lucky primes up to 2*N+1 L:= [seq(2*i+1, i=0..N)]: for n from 2 while n < nops(L) do r:= L[n]; L:= subsop(seq(r*i=NULL, i=1..nops(L)/r), L); od: LP:= select(isprime, L): LP[2..-1]-LP[1..-2]; # Robert Israel, Jul 26 2019 PROG (SageMath) [A031157[i+1]-A031157[i] for i in range(100)] CROSSREFS Cf. A031157, A001223, A309333. Sequence in context: A061361 A332986 A113610 * A263319 A062046 A102020 Adjacent sequences: A309331 A309332 A309333 * A309335 A309336 A309337 KEYWORD nonn AUTHOR Hauke Löffler, Jul 24 2019 STATUS approved

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Last modified February 29 20:48 EST 2024. Contains 370428 sequences. (Running on oeis4.)