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Search: id:A137669
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| A137669 |
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Prime numbers p such that p +- a and p +- b are prime numbers where a and b are distinct positive integers with p > b and b > a. |
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+0
1
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| 11, 13, 17, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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71+-12=primes and 71+-18=primes
103+- 6=primes and 103+-24=primes
107+- 6=primes and 107+-24=primes
127+-24=primes and 127+-30=primes
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MATHEMATICA
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l = {}; For[n = 1, n < 80, n++, c = 0; For[a = 1, a < Prime[n] - 2, a++, If[PrimeQ[Prime[n] - a] && PrimeQ[Prime[n] + a], For[b = a + 1, b < Prime[n], b++, If[PrimeQ[Prime[n] - b] && PrimeQ[Prime[n] + b], c = 1; Break; Break]]]]; If[c == 1, AppendTo[l, Prime[n]]]]; l - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), May 02 2008
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CROSSREFS
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Sequence in context: A036977 A120168 A087681 this_sequence A078861 A106891 A106890
Adjacent sequences: A137666 A137667 A137668 this_sequence A137670 A137671 A137672
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 27 2008
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EXTENSIONS
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Corrected and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), May 02 2008
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