id:A078833 - OEIS Search Results

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Greatest prime contained as binary substring in binary representation of n>1, a(1)=1.

+0
3

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; listen)

	OFFSET	`1,2`
	COMMENT	`a(n) = A039634(n) for n<=44, but a(45)=13<>11=A039634(45);` `for n>1: a(n) = n iff n is prime.`
	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.`
	CROSSREFS	`Cf. A078832, A078826, A078822, A007088, A006530.` `Sequence in context: A130088 A078834 A039634 this_sequence A109674 A067629 A079870` `Adjacent sequences: A078830 A078831 A078832 this_sequence A078834 A078835 A078836`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 08 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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