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A065079 Primes for which the alternating bit sum (A065359) is not equal to 1 or 2. +0
1
11, 41, 43, 47, 59, 107, 131, 137, 139, 163, 167, 173, 179, 191, 227, 233, 239, 251, 277, 337, 349, 373, 419, 431, 443, 491, 521, 523, 547, 557, 563, 569, 571, 587, 617, 619, 641, 643, 647, 653, 659, 673, 677, 683, 691, 701, 719, 739, 743, 751, 761, 809 (list; graph; listen)
OFFSET

1,1

COMMENT

Differs from A065049 beginning with 683.

REFERENCES

William Paulsen, wpaulsen(AT)csm.astate.edu, personal communication.

EXAMPLE

11 is in the sequence because 11d = 1011b, so the alternating digits sum of 11 is 1 -1 +0 -1 = -1 which is neither 1 nor 2.

MATHEMATICA

Do[d = Reverse[ IntegerDigits[ Prime[n], 2]]; l = Length[d]; s = 0; k = 1; While[k < l + 1, s = s - (-1)^k*d[[k]]; k++ ]; If[s != 1 && s != 2, Print[ Prime[n]]], {n, 3, 141} ]

CROSSREFS

Cf. A065049.

Sequence in context: A089348 A088622 A121171 this_sequence A065049 A122015 A078653

Adjacent sequences: A065076 A065077 A065078 this_sequence A065080 A065081 A065082

KEYWORD

base,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 08 2001

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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