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A292389
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a(n) = SumXOR_{k=1..n} A292388(k) (where SumXOR is the analog of summation under the binary XOR operation).
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3
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2, 3, 7, 2, 5, 3, 11, 2, 13, 7, 11, 5, 23, 7, 19, 2, 17, 7, 31, 5, 37, 59, 31, 3, 37, 7, 47, 5, 41, 2, 23, 37, 2, 31, 47, 2, 29, 41, 7, 61, 11, 53, 2, 43, 19, 47, 109, 41, 97, 43, 107, 37, 113, 61, 2, 59, 107, 61, 101, 59, 97, 61, 89, 31, 127, 29, 79, 2, 67
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OFFSET
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1,1
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COMMENTS
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All terms are prime.
Conjecturally, this sequence contains infinitely many 2's.
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LINKS
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EXAMPLE
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PROG
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(PARI) s=0; x=0; for (n=1, 69, for (v=1, oo, if (!bit test(s, v) && is prime(bit xor(x, v)), s+=2^v; x=bit xor(x, v); print1 (x ", "); break)))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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