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Search: id:A140621
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| A140621 |
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Primes of the form 28x^2+12xy+57y^2. |
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+0
1
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| 73, 97, 193, 457, 577, 1033, 1657, 1753, 2017, 2113, 2137, 2377, 2593, 2953, 3217, 3313, 3673, 3697, 4153, 4297, 4513, 5233, 5857, 6073, 6337, 6793, 7057, 7417, 7753, 7873, 7993, 8353, 8377, 9433, 9817, 10177, 10753, 10993, 11113, 11497
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OFFSET
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1,1
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COMMENT
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Discriminant=-6240. Also primes of the form 72x^2+48xy+73y^2.
In base 12, the sequence is 61, 81, 141, 321, 401, 721, E61, 1021, 1201, 1281, 12X1, 1461, 1601, 1861, 1X41, 1E01, 2161, 2181, 24X1, 25X1, 2741, 3041, 3481, 3621, 3801, 3E21, 4101, 4361, 45X1, 4681, 4761, 4X01, 4X21, 5561, 5821, 5X81, 6281, 6441, 6521, 67X1, where X is for 10 and E is for 11. Moreover, the discriminant is -3740. Keep in mind that 12 is a canonical base for mathematics in general since any prime greater than 3 is of the form 6k+-1, any prime of the form 4k+1 is a sum of squares while any prime of the form 4k+3 is never a sum of squares, and lcm(6,4)=12. - Walter A. Kehowski (wkehowski(AT)cox.net), Jun 01 2008
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CROSSREFS
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Cf. A140633.
Adjacent sequences: A140618 A140619 A140620 this_sequence A140622 A140623 A140624
Sequence in context: A139972 A141375 A107008 this_sequence A050958 A139990 A116210
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KEYWORD
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nonn,easy
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), May 19 2008
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