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Search: id:A101304
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| 9, 17, 65, 257, 4097, 16385, 262145, 1048577, 16777217, 1073741825, 4294967297, 274877906945, 4398046511105, 17592186044417, 281474976710657, 18014398509481985, 1152921504606846977, 4611686018427387905
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Decimal numbers in which binary form is given by 1x1 where x is a repeated 0 multiplied by prime numbers.
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EXAMPLE
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prime(n)=a ==> convert(1 (0xa times) 1,decimal,2) = b # note a zeros
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prime(1)=2 ==> convert(1001,decimal,2) = 9 # note 2 zeros
prime(2)=3 ==> convert(10001,decimal,2) = 17 # note 3 zeros
prime(3)=5 ==> convert(1000001,decimal,2) = 65 # note 5 zeros
prime(3)=7 ==> convert(100000001,decimal,2) = 257 # note 7 zeros
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MAPLE
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convert(1001, decimal, 2), convert(10001, decimal, 2), convert(1000001, decimal, 2), convert(100000001, decimal, 2), convert(1000000000001, decimal, 2), convert(100000000000001, decimal, 2), convert(1000000000000000001, decimal, 2), convert(100000000000000000001, decimal, 2), convert(1000000000000000000000001, decimal, 2), convert(1000000000000000000000000000001, decimal, 2), convert(100000000000000000000000000000001, decimal, 2);
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MATHEMATICA
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Table[2^(Prime[n] + 1) + 1, {n, 18}] (from Robert G. Wilson v Dec 22 2004)
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CROSSREFS
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Cf. A000051.
Sequence in context: A146625 A146576 A147138 this_sequence A146601 A121955 A151793
Adjacent sequences: A101301 A101302 A101303 this_sequence A101305 A101306 A101307
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KEYWORD
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nonn
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AUTHOR
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Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Dec 22 2004
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 22 2004
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