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Search: id:A109182
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| A109182 |
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Numbers n such that n-th and (n+1)-th primes have the same sum of their digits squared. |
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+0 2
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| 293, 2106, 2161, 2763, 3698, 3793, 3795, 3812, 3922, 3959, 3995, 4000, 4205, 4224, 4260, 4728, 4953, 5065, 5283, 5617, 5700, 5751, 5932, 6326, 6333, 6422, 6539, 6623, 7375, 7475, 7501, 7533, 7542, 8306, 8568, 8751, 8777, 8994, 9102, 9259, 9354, 9480
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Most of the pairs of successive primes have also the same set of digits, those which the different sets of digits in A109183, first relative n's are 3795,3995,10234,17125,18134,19322,20979.
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EXAMPLE
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prime(293)=1913, prime(294)=1931, both have the same sum of digits squared 1^2+9^2+1^2+3^2=1^2+9^2+3^2+1^2=92.
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CROSSREFS
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Cf. A109183.
Sequence in context: A142558 A109562 A023305 this_sequence A085502 A108828 A132187
Adjacent sequences: A109179 A109180 A109181 this_sequence A109183 A109184 A109185
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KEYWORD
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base,nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Jun 21 2005
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