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 A350500 Even numbers that are both the sum of a twin prime pair and the sum of 1 and a semiprime. 0
 36, 120, 144, 204, 216, 300, 396, 624, 696, 924, 1044, 1140, 1200, 1644, 1656, 1764, 2124, 2184, 2604, 2856, 3216, 3240, 3444, 3744, 3756, 3900, 4056, 4164, 4224, 4536, 4620, 4764, 5184, 5316, 5460, 5580, 5604, 6000, 6240, 6504, 6516, 6744, 7116, 7344, 7836, 7860, 8004 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..47. EXAMPLE 36 is in the sequence since 36 = 17+19 = 1+35. 120 is in the sequence since 120 = 59+61 = 1+119. MATHEMATICA Select[12 * Range[700], And @@ PrimeQ[#/2 + {-1, 1}] && PrimeOmega[# - 1] == 2 &] (* Amiram Eldar, Jan 02 2022 *) PROG (Python) from sympy import isprime, factorint def ok(n): return n%2 == 0 and isprime(n//2-1) and isprime(n//2+1) and sum(factorint(n-1).values()) == 2 print([k for k in range(8005) if ok(k)]) # Michael S. Branicky, Jan 02 2022 CROSSREFS Intersection of A054735 and A088707. Cf. A349757. Sequence in context: A044287 A044668 A129367 * A287861 A242356 A165966 Adjacent sequences: A350497 A350498 A350499 * A350501 A350502 A350503 KEYWORD nonn AUTHOR Wesley Ivan Hurt, Jan 01 2022 STATUS approved

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Last modified April 22 19:22 EDT 2024. Contains 371906 sequences. (Running on oeis4.)