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Search: id:A130570
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| A130570 |
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Primes of the form k*2^m + 1 for k odd, m >=1, that are not Proth primes (A080076) (2^m <= k). |
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+0
1
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| 7, 11, 19, 23, 29, 31, 37, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 101, 103, 107, 109, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 197, 199, 211, 223, 227, 229, 233, 239, 251, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(1)=7 because 7 is prime, 7 = 3*2^1 + 1 and 2^1 <= 3,
a(2)=11 because 11 is prime, 11 = 5*2^1 + 1 and 2^1 <= 5,
a(3)=19 because 19 is prime, 19 = 9*2^1 + 1 and 2^1 <= 9, ...
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MAPLE
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ts_neProth_prime:=proc(n) local i, j, k, a, am; k := 2: am:= [ ]: for i from 1 to n do for j from 1 by 2 to n do a := j*k^(i)+1: if (k^(i) <= j and isprime(a)=true) then am := [op(am), a ]: fi: od: od: RETURN( sort(am) ) end: ts_neProth_prime(400);
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CROSSREFS
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Cf. A080075.
Sequence in context: A020455 A048215 A131192 this_sequence A106081 A168489 A129899
Adjacent sequences: A130567 A130568 A130569 this_sequence A130571 A130572 A130573
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KEYWORD
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nonn
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AUTHOR
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Jani Melik (jani_melik(AT)hotmail.com), Aug 10 2007
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