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Search: id:A083562
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| A083562 |
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Beginning of first chain of n consecutive primes whose product + 2 is prime. |
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+0
1
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| 3, 3, 3, 17, 3, 5, 67, 29, 3, 3, 3, 373, 5, 3, 5, 3, 257, 641, 7, 383, 43, 139, 571, 3967, 2971
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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17 is the smallest prime in 17, 19, 23, 29 which is the first chain of four consecutive primes whose product + 2 is prime: 17 * 19 * 23 * 29 + 2 = 215443 (prime). Hence a(4) = 17.
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MATHEMATICA
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pl=Prime[Range[1000]]; frp[n_] := Module[{pl2=Partition[pl, n, 1]}, First[Select[pl2, PrimeQ[(Times@@#)+2]&][[1]]]]; Table[frp[i], {i, 25}]
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CROSSREFS
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Adjacent sequences: A083559 A083560 A083561 this_sequence A083563 A083564 A083565
Sequence in context: A052900 A024947 A110668 this_sequence A106542 A127014 A073748
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KEYWORD
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nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jun 12 2003
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