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A119450
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Primes with odd digit sum.
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4
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3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89, 113, 131, 137, 139, 151, 157, 173, 179, 191, 193, 197, 199, 223, 227, 229, 241, 263, 269, 281, 283, 311, 313, 317, 331, 337, 353, 359, 373, 379, 397, 401, 409, 421, 443, 449, 461, 463, 467, 487, 557, 571, 577, 593
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| On average, there are as many prime numbers for which the sum of decimal digits is even as prime numbers for which it is odd [A119450]. This hypothesis, first made in 1968, has recently been proved by researchers from the Institut de Mathematiques de Luminy.
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REFERENCES
| C. Mauduit and J. Rivat. Sur un probleme de Gelfond: la somme des chiffres des nombres premiers. Annals of Mathematics, 2010; 171 (3): 1591. [From Jonathan Vos Post (jvospost3(AT)gmail.com), May 13 2010]
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LINKS
| T. D. Noe, Table of n, a(n) for n = 1..10000
ScienceDaily, Sum of Digits of Prime Numbers Is Evenly Distributed: New Mathematical Proof of Hypothesis, May 13, 2010.
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CROSSREFS
| Primes with even digit sum A119449.
Sequence in context: A084424 A137978 A155780 * A154764 A101773 A057182
Adjacent sequences: A119447 A119448 A119449 * A119451 A119452 A119453
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KEYWORD
| base,nonn
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), May 20 2006
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