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A195468
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Lesser of overpseudo-twin-primes to base 2 defined in Comment.
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2
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85487, 104651, 253241, 280601, 458987, 580337, 1082399, 1207361, 1251947, 1678541, 2811269, 3090089, 5044031, 5173601, 5590619, 9567671, 10323767, 12263129, 16324001, 18073817, 20647619, 21303341, 22849481, 25080101, 28527047, 33627299, 36307979, 43363601, 45414431
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OFFSET
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1,1
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COMMENTS
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If h_2(n) is the multiplicative order of 2 modulo n, r_2(n) is the number of cyclotomic cosets of 2 modulo n then, by the definition, n is an overpseudoprime to base 2 if h_2(n)*r_2(n)+1=n. These numbers are in A141232.
We call numbers {n,n+2} overpseudo-twin-primes to base 2 if each of them either prime or overpseudoprime to base 2, but no two are primes.
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LINKS
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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