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A221980
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Number of primes of the form (x+1)^7 - x^7 with x <= 10^n.
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1
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OFFSET
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0,2
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COMMENTS
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Number of primes equal to the difference of two consecutive seventh powers (x+1)^7 - x^7 = 7x(x+1)(x^2+x+1)^2+1 (A121618). Values of x = A121619 - 1. Sequence of number of primes of the form (x+1)^7 - x^7 with x <= 10^n have similar characteristics to similar sequences for natural primes, cuban primes (A221794) and primes of the form (x+1)^5 - x^5 (A221849).
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LINKS
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MATHEMATICA
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Table[Count[#[[2]]-#[[1]]&/@Partition[Range[10^n+1]^7, 2, 1], _?PrimeQ], {n, 0, 6}] (* Harvey P. Dale, Sep 17 2019 *)
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PROG
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(PARI) a(n) = {nb = 0; for (i = 1, 10^n, if (isprime((i+1)^7-i^7), nb++); ); nb; } \\ Michel Marcus, Sep 18 2013
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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