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Search: id:A089777
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| A089777 |
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a(n) = smallest prime of the form n followed by a prime. |
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+0
2
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| 13, 23, 37, 43, 53, 67, 73, 83, 97, 103, 113, 127, 137, 1423, 157, 163, 173, 1811, 193, 2011, 2111, 223, 233, 2411, 257, 263, 277, 283, 293, 307, 313, 3217, 337, 347, 353, 367, 373, 383, 397, 4013, 4111, 4211, 433, 443, 457, 463, 4723, 487, 4919, 503, 5113
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Open problem (?): show that a(n) always exists.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
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MAPLE
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cat2 := proc(a, b) local dgs ; dgs := max(1, ilog10(b)+1) ; a*10^dgs+b ; end: A089777 := proc(k) local i, p, q ; for i from 1 do p := ithprime(i) ; q := cat2(k, p) ; if isprime(q) then RETURN(q) ; fi; od: end: for k from 1 to 80 do printf("%d, ", A089777(k)) ; od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 05 2009]
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MATHEMATICA
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Table[k=2; While[p=FromDigits[Join[IntegerDigits[n], IntegerDigits[Prime[k]]]]; !PrimeQ[p], k++ ]; p, {n, 100}] [From T. D. Noe (noe(AT)sspectra.com), Jan 06 2009]
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CROSSREFS
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Cf. A096915 (gives the primes that are appended to n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 05 2009]
Sequence in context: A166566 A165459 A108794 this_sequence A050857 A089714 A070219
Adjacent sequences: A089774 A089775 A089776 this_sequence A089778 A089779 A089780
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 24 2003
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EXTENSIONS
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Extended by T. D. Noe (noe(AT)sspectra.com) and R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 06 2009
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