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Search: id:A085681
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| A085681 |
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Integers of the form 2^n*p where p is a prime > 2^n. |
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+0
1
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| 6, 10, 14, 20, 22, 26, 28, 34, 38, 44, 46, 52, 58, 62, 68, 74, 76, 82, 86, 88, 92, 94, 104, 106, 116, 118, 122, 124, 134, 136, 142, 146, 148, 152, 158, 164, 166, 172, 178, 184, 188, 194, 202, 206, 212, 214, 218, 226, 232, 236, 244, 248, 254, 262, 268, 272, 274
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Reason for considering sequence: if even numbers are equally distributed mod p>2, then the number of integers of this set up to a certain number would tend to be equal to the number of primes. Therefore it could be useful if we know the primes up to a given number x to estimate the primes to 2x
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EXAMPLE
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For instance 2*3, 2*5, 2*7, ..., 4*5, 4*7, 4*11, ..., 8*11, 8*13, ..., 16*17, 16*19, ...
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MATHEMATICA
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f[n_] := Table[2^n*Prime[i], {i, PrimePi[2^n] + 1, 35}]; Take[ Sort[ Flatten[ Table[ f[n], {n, 1, 4}]]], 57]
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CROSSREFS
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Sequence in context: A007944 A006617 A140695 this_sequence A068919 A060650 A068198
Adjacent sequences: A085678 A085679 A085680 this_sequence A085682 A085683 A085684
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KEYWORD
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nonn
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AUTHOR
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Alberto Zelaya (azelaya(AT)xtra.co.nz), Jul 17 2003
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 19 2003
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