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3, 5, 13, 17, 41, 97, 113, 193, 241, 257, 353, 449, 577, 641, 673, 769, 929, 1153, 1217, 1409, 1601, 2113, 2689, 2753, 3137, 3329, 3457, 4481, 4993, 6529, 7297, 7681, 7937, 9473, 9601, 9857, 10369, 10753, 11393, 11777, 12161, 12289, 13313
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
Eric Weisstein's World of Mathematics, Proth Prime
C.Caldwell's The Top Twenty, Proth.
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MATHEMATICA
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r[p_, n_] := Reduce[p == (2*m + 1)*2^n + 1 && 2^n > 2*m + 1 && n > 0 && m >= 0, {a, m}, Integers]; r[p_] := Catch[ Do[ If[ r[p, n] =!= False, Throw[True]], {n, 1, Floor[Log[2, p]]}]]; A080076 = Reap[ Do[ p = Prime[k]; If[ r[p] === True, Sow[p]], {k, 1, 2000}]][[2, 1]] (* Jean-François Alcover, Apr 06 2012 *)
nn = 13; Union[Flatten[Table[Select[1 + 2^n Range[1, 2^Min[n, nn - n + 1], 2], # < 2^(nn + 1) && PrimeQ[#] &], {n, nn}]]] (* T. D. Noe, Apr 06 2012 *)
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CROSSREFS
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Cf. A080075.
Cf. A134876 (number of Proth primes)
Sequence in context: A147490 A180008 A089996 * A128339 A147506 A074854
Adjacent sequences: A080073 A080074 A080075 * A080077 A080078 A080079
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KEYWORD
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nonn
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AUTHOR
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Eric W. Weisstein, Jan 24, 2003
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STATUS
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approved
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