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A327748
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Primes p such that the sum of p and the prime before p is not a multiple of 3.
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0
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3, 5, 29, 37, 53, 59, 67, 79, 89, 137, 157, 163, 173, 179, 211, 223, 239, 257, 263, 269, 277, 337, 359, 373, 379, 389, 439, 449, 479, 509, 521, 541, 547, 563, 569, 577, 593, 599, 607, 613, 631, 653, 659, 673, 683, 733, 739, 757, 809, 947, 953, 977, 983, 997
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OFFSET
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1,1
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COMMENTS
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Except for the first two terms (3 and 5), this sequence also represents the primes such that (prime(n)^3 - prime(n-1)^3) is divisible by 3. - Jeff Brown, Jul 06 2020
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LINKS
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EXAMPLE
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3 is in the sequence because the prime before 3 is 2, and 2 + 3 = 5, and 5 is not divisible by 3.
53 is in the sequence because the prime before 53 is 47, and 47 + 53 = 100, and 100 is not divisible by 3.
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MATHEMATICA
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Select[Prime[Range[2, 168]], Mod[#+NextPrime[#, -1], 3]!=0&] (* Ivan N. Ianakiev, Oct 08 2019 *)
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PROG
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(PARI) isok(p) = isprime(p) && (p>2) && ((p+precprime(p-1)) % 3); \\ Michel Marcus, Oct 02 2019
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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