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Search: id:A067528
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| A067528 |
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Numbers n such that n - 4^k is a prime or 1 for all k > 0 and n > 4^k. |
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+0
5
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| 5, 6, 7, 9, 11, 15, 17, 21, 23, 27, 33, 35, 45, 47, 57, 63, 75, 77, 83, 87, 105, 117, 143, 153, 167, 195, 215, 227, 243, 245, 255, 287, 297, 413, 437, 447, 483, 495, 507, 525, 573, 635, 657, 677, 755, 825, 1113, 1133, 1295, 1487, 1515, 1547, 1617, 1623, 2015
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Is the sequence finite?
The last term appears to be 5833497. - T. D. Noe (noe(AT)sspectra.com), Nov 23 2004
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..102 (no others < 2*10^9)
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EXAMPLE
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167 is a term as 167-4, 167-16, 167-64 i.e. 163,151, and 103 are primes.
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MATHEMATICA
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lst={}; Do[k=1; While[p=n-4^k; p>0 && (p==1 || PrimeQ[p]), k++ ]; If[p<=0, AppendTo[lst, n]], {n, 5, 10^7}]; lst (T. D. Noe)
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CROSSREFS
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Cf. A067526, A039669 (n-2^k is prime).
Sequence in context: A096820 A030388 A031059 this_sequence A073419 A072956 A080708
Adjacent sequences: A067525 A067526 A067527 this_sequence A067529 A067530 A067531
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KEYWORD
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easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Feb 17 2002
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EXTENSIONS
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More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 19 2002
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