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7, 23, 31, 47, 71, 79, 103, 127, 151, 167, 191, 199, 223, 239, 263, 271, 311, 359, 367, 383, 431, 439, 463, 479, 487, 503, 599, 607, 631, 647, 719, 727, 743, 751, 823, 839, 863, 887, 911, 919, 967, 983, 991, 1031, 1039, 1063, 1087, 1103, 1151, 1223, 1231
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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Original title was "Primes of the form -x^2 + 4xy + 4y^2 (as well as of the form 7x^2 + 12xy + 4y^2)."
R. J. Mathar was the first to wonder if this entry is a duplicate. By elementary means, I very easily proved that all primes of this form are also of the form 8n + 7 (which is A007522). Then Don Reble demonstrated that each prime of the form 8n + 7 has a corresponding representation as -x^2 + 4xy + 4y^2. Therefore the two sequences are in fact the same. - Alonso del Arte, Nov 21 2016
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LINKS
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CROSSREFS
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KEYWORD
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dead
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AUTHOR
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Laura Caballero Fernandez, Lourdes Calvo Moguer, Maria Josefa Cano Marquez, Oscar Jesus Falcon Ganfornina and Sergio Garrido Morales (oscfalgan(AT)yahoo.es), Jun 12 2008
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EXTENSIONS
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STATUS
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approved
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