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Search: id:A161796
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| A161796 |
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Primes with at least one digit appearing exactly five times in the decimal expansion. |
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+0
2
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| 101111, 111119, 111121, 111191, 111211, 111611, 112111, 113111, 131111, 199999, 311111, 313333, 323333, 331333, 333233, 333323, 333331, 333337, 333383, 333433, 333533, 334333, 343333, 353333, 444443, 444449, 511111, 555557, 599999, 611111
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The sequence is probably infinite.
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MAPLE
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isdgctm := proc(n, d) local dgs, a, i ; dgs := convert(n, base, 10) ; a := [seq(0, j=0..9)] ;
for i in dgs do a := subsop(i+1=op(i+1, a)+1, a) ; od: if convert(a, set) intersect {d} <> {} then true; else false; fi; end:
for n from 1 to 100000 do p := ithprime(n) ; if isdgctm(p, 5) then printf("%d, ", p) ; fi; od: # R. J. Mathar, Jun 21 2009
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CROSSREFS
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Cf. A105992, A161786.
Sequence in context: A107276 A068445 A115828 this_sequence A096929 A023077 A077760
Adjacent sequences: A161793 A161794 A161795 this_sequence A161797 A161798 A161799
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KEYWORD
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nonn,base
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AUTHOR
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Ki Punches (ki1212(AT)pocketmail.com), Jun 19 2009
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EXTENSIONS
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Edited and corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 21 2009
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