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A065503
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Indices k of primes p(k) such that p(k) is in A060213.
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0
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5, 7, 10, 13, 26, 33, 60, 113, 116, 142, 265, 288, 313, 332, 353, 384, 408, 484, 498, 542, 625, 636, 719, 805, 864, 1064, 1070, 1194, 1328, 1456, 1477, 1528, 1538, 1571, 1623, 1627, 1651, 1660, 1867, 2003, 2216, 2244, 2309, 2311, 2418, 2438, 2469, 2616, 2753
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OFFSET
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1,1
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COMMENTS
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Original name: Let p(k) denote k-th prime; consider solutions (x,y) of Diophantine equation p(x+1)-6p(y)=1 (*), where p(x) belongs to A060213 and p(m)=(p(n)+1)/6; sequence gives values of x.
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LINKS
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EXAMPLE
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x=13084 and y=2612 satisfy equation (*) at the primes p(x)=140837 and p(y)=23473.
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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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Offset corrected, more terms, and title clarified by Sean A. Irvine, Sep 03 2023
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STATUS
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approved
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