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A052164
Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.
10
67, 277, 613, 1447, 1663, 1693, 1783, 2137, 2377, 2707, 2797, 3163, 3847, 4153, 5413, 5437, 5737, 6547, 7207, 7753, 8623, 9007, 9277, 9337, 10267, 11113, 11827, 12037, 12157, 12373, 14557, 16447, 17203, 18127, 18307, 18517, 19207, 20143
OFFSET
1,1
LINKS
EXAMPLE
67 is in the sequence because 67 + 4 = 71 and 67 + 4 + 2 = 73 are primes, the prime prior to 67 is 61, the prime after 73 is 79, and the corresponding differences are 6 and 6. The d-pattern "around 67" is {6,4,2,6}.
MAPLE
P:= select(isprime, [2, seq(i, i=3..30000, 2)]):
G:= P[2..-1]-P[1..-2]:
J:=select(i -> G[i-1] >= 6 and G[i] = 4 and G[i+1] = 2 and G[i+2] >= 6, [$2..nops(G)-2]):
P[J]; # Robert Israel, Oct 10 2025
CROSSREFS
Sequence in context: A158730 A140731 A140855 * A321937 A270615 A142804
KEYWORD
nonn
AUTHOR
Labos Elemer, Jan 26 2000
STATUS
approved