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A078833
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Greatest prime contained as binary substring in binary representation of n>1, a(1)=1.
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2
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1, 2, 3, 2, 5, 3, 7, 2, 2, 5, 11, 3, 13, 7, 7, 2, 17, 2, 19, 5, 5, 11, 23, 3, 3, 13, 13, 7, 29, 7, 31, 2, 2, 17, 17, 2, 37, 19, 19, 5, 41, 5, 43, 11, 13, 23, 47, 3, 17, 3, 19, 13, 53, 13, 23, 7, 7, 29, 59, 7, 61, 31, 31, 2, 2, 2, 67, 17, 17, 17, 71, 2, 73, 37, 37, 19, 19, 19, 79, 5, 17
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(n) = A039634(n) for n<=44, but a(45)=13<>11=A039634(45);
for n>1: a(n) = n iff n is prime.
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EXAMPLE
| n=12 -> '1100' contains 2 binary substrings which are primes: '11' (11bb) and '10' (b11b), 3='11' is the greater one, therefore a(12)=3.
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CROSSREFS
| Cf. A078832, A078826, A078822, A007088, A006530.
Sequence in context: A130088 A078834 A039634 * A109674 A067629 A079870
Adjacent sequences: A078830 A078831 A078832 * A078834 A078835 A078836
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KEYWORD
| nonn,base
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 08 2002
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