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Search: id:A100267
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| A100267 |
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Primes of the form x^32 + y^32. |
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2
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| 2, 3512911982806776822251393039617, 2211377674535255285545615254209921, 476961452964007550415682034114910337, 14748002492224459115975467901357427939457
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The Mathematica program generates numbers of the form x^32 + y^32 in order of increasing magnitude; it accepts a number when it is prime.
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..1000
Eric Weisstein's World of Mathematics, Generalized Fermat Number
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MATHEMATICA
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n=5; pwr=2^n; xmax=2; r=Range[xmax]; num=r^pwr+r^pwr; Table[While[p=Min[num]; x=Position[num, p][[1, 1]]; y=r[[x]]; r[[x]]++; num[[x]]=x^pwr+r[[x]]^pwr; If[x==xmax, xmax++; AppendTo[r, xmax+1]; AppendTo[num, xmax^pwr+(xmax+1)^pwr]]; !PrimeQ[p]]; p, {10}]
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CROSSREFS
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Cf. A100266 (primes of the form x^16 + y^16), A006686 (primes of the form x^8 + y^8), A002645 (primes of the form x^4 + y^4), A002313 (primes of the form x^2 + y^2).
Adjacent sequences: A100264 A100265 A100266 this_sequence A100268 A100269 A100270
Sequence in context: A007352 A068138 A118019 this_sequence A045840 A061853 A010104
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Nov 11 2004
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