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Search: id:A091383
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| A091383 |
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Prime numbers where the sequence of largest quadratic "mixed" residues modulo the primes (A091380) is non-monotonic. |
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+0
6
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| 3, 7, 31, 71, 103, 151, 199, 239, 271, 311, 359, 463, 599, 719, 823, 839, 911, 1063, 1231, 1279, 1303, 1439, 1559, 1871, 1879, 1951, 1999, 2143, 2239, 2311, 2351, 2383, 2399, 2551, 2711, 2791, 3191, 3391, 3463, 3559, 3583, 3823, 3911, 3919, 4079, 4159
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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All of these primes belong to the +-1 least absolute reside classes modulo 8. (Tested for 10^5 primes)
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LINKS
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Ferenc Adorjan, The sequence of largest quadratic residues modulo the primes
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PROGRAM
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(PARI) {/* The primes where the sequence of the largest "mixed" QR modulo the primes is non monotonic */ lqxr_nm_p(to)=local(v=[], k, r, q, p, e=1, n=0, i=1); while(n<to, i+=1; p=prime(i); k=p-1; r=p%4-2; while(kronecker(k, p)<>r, k-=1); if(k-e<=0, v=concat(v, p); n+=1); e=k); print(i); print(v) }
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CROSSREFS
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Cf. A091380, A091381, A091382, A091384, A091385, A088190, A088193, A088199.
Sequence in context: A042131 A109140 A088193 this_sequence A072881 A132153 A002357
Adjacent sequences: A091380 A091381 A091382 this_sequence A091384 A091385 A091386
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KEYWORD
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easy,nonn
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AUTHOR
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Ferenc Adorjan (fadorjan(AT)freemail.hu)
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