

A339080


Smaller members of binary Ormiston prime pairs: two consecutive primes whose binary representations are anagrams of each other.


2



11, 23, 37, 59, 83, 103, 107, 131, 139, 151, 167, 173, 179, 199, 227, 229, 263, 277, 347, 409, 419, 439, 487, 491, 503, 557, 563, 613, 647, 653, 659, 683, 719, 727, 757, 811, 823, 827, 839, 853, 911, 941, 947, 953, 967, 997, 1019, 1063, 1091, 1093, 1123, 1163
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OFFSET

1,1


COMMENTS

Equivalently, the smaller of two consecutive primes with the same length of binary representation (A070939) and the same binary weight (A000120).


LINKS

Andy Edwards, Ormiston Pairs, Australian Mathematics Teacher, Vol. 58, No. 2 (2002), pp. 1213.


EXAMPLE

11 is a term since 11 and 13 are consecutive primes whose binary representations, 1011 and 1101, are anagrams of each other.


MATHEMATICA

Transpose[Select[Partition[Prime[Range[200]], 2, 1], Sort[IntegerDigits[First[#], 2]] == Sort[IntegerDigits[Last[#], 2]]&]][[1]] (* after Harvey P. Dale at A069567 *)


CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



