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Search: id:A077186
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| A077186 |
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Smallest multiple of prime(n) of the form 123...(k-1) k (k-1)...321 ( a concatenation of natural numbers from 1 to k and back to 1), or 0 if no such number exists. |
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+0
5
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OFFSET
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1,2
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COMMENT
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a(7) has 435 digits (k=109) and is too large to include, a(8) has 399 digits (k=103), k(a(10))=1006, k(a(11))=17, k(a(12))=3 so a(12)=12321, k(a(13))=5 so a(13)=123454321, k(a(14))=103, k(a(17))=1019, k(a(18))=1002, k(a(19))=1001, k(a(20))=16 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 06 2006
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PROGRAM
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(PARI) palid(n)= { local(resul) ; resul=concat("", n) ; forstep(i=n-1, 1, -1, resul=concat(i, resul) ; resul=concat(resul, i) ; ) ; return(eval(resul)) ; } A077186(n)= { local(p) ; if(n==1 || n==3, return(0) ; ) ; p=prime(n) ; for(i=1, 1500, if( palid(i)%p ==0, return(i) ; break ; ) ; ) ; return(-1) ; } { for(n=1, 20, print("n=", n, " k=", A077186(n)) ; ) ; } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 06 2006
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CROSSREFS
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Cf. A077180, A077181, A077182, A077183, A077184, A077187, A077188.
Sequence in context: A133862 A061745 A045084 this_sequence A077189 A104972 A091341
Adjacent sequences: A077183 A077184 A077185 this_sequence A077187 A077188 A077189
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 01 2002
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 06 2006
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