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A285463
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Primes palindromic in base 8 that are the sum of 3 consecutive primes, the middle one palindromic in base 8.
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1
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349, 936227, 241853952611, 248296403939, 402089961397, 14290027171787, 22798543031501, 25498249343221, 928194481893587, 1108961833390907, 56735483914668107, 56840981804535371, 65947215239750827, 67113509914884011, 90309903454333957, 97912610367958237, 99307055366487077
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OFFSET
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1,1
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COMMENTS
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Similar arguments as for A113846 can be used to show that for all terms the first (and last) digit in base 8 is either 3 or 5.
All terms so far seem to follow one of the following patterns in base 8:
3w3, where w is an odd-length word consisting of the digits 2 and 5 only or of the digits 1, 4, 7 only.
abwba, where a is either 3 or 5, b is either the empty word or a single digit from 0 to 7 and w is an odd-length word consisting of the digits 0, 3, 6 only or of the digits 1, 4, 7 only.
By searching only through these patterns, much larger terms were found such as 473953150492647002336509521341 = 576666333366030333030663333666675_3.
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LINKS
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CROSSREFS
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KEYWORD
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nonn,base,hard
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AUTHOR
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STATUS
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approved
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