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A357517
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Primes that are the average of two consecutive primorial numbers A002110 plus one.
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0
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5, 19, 270271, 5105101, 103515091681, 3810649312471, 155835500831011, 313986271960080721, 282899575838889614011647241, 113405858671385228324474555982803921209616373612841704311161, 2900763693484834576932132901212043025388720793126978148639249341
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OFFSET
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1,1
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COMMENTS
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a(n) ends with digit 1, for n > 2.
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LINKS
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EXAMPLE
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19 is a term since primorials A002110(2) = 6 and A002110(3) = 30 which give (6 + 30)/2 + 1 = 19 which is prime.
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MATHEMATICA
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primorial[n_] := Times@@Table[Prime[k], {k, 1, n}]; Table[If[PrimeQ[(primorial[n] + primorial[n+1])/2 + 1], (primorial[n] + primorial[n+1])/2 + 1, Nothing], {n, 1, 40}]
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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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