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Search: id:A098058
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| A098058 |
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Prime(n) such that 4 does not divide the difference between prime(n) and prime(n+1). |
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+0
11
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| 2, 3, 5, 11, 17, 23, 29, 31, 41, 47, 53, 59, 61, 71, 73, 83, 101, 107, 113, 131, 137, 139, 149, 151, 157, 167, 173, 179, 181, 191, 197, 227, 233, 239, 241, 251, 257, 263, 269, 271, 281, 283, 293, 311, 317, 331, 337, 347, 353, 367, 373, 383, 409, 419, 421, 431
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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Prime(2) = 3, prime(3) = 5. 4 does not divide 5-3 so prime(2)=3 is in the sequence.
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MATHEMATICA
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Prime[Select[Range[100], Mod[Prime[ # + 1] - Prime[ # ], 4] !=0 &]] (*Chandler*)
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PROGRAM
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(PARI) f(n) = for(x=1, n, z=(prime(x+1)-prime(x)); if(z%4, print1(prime(x)", ")))
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CROSSREFS
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Cf. A098059.
Sequence in context: A049583 A049596 A049571 this_sequence A040054 A093503 A040036
Adjacent sequences: A098055 A098056 A098057 this_sequence A098059 A098060 A098061
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KEYWORD
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easy,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Sep 11 2004
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EXTENSIONS
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Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 26 2006
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