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A327811
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Numbers obtained from cyclically permuting the base-7 digits of 13143449029 and converting back to decimal.
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1
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2732225029, 4344971347, 5284288003, 6552690421, 7329791221, 8845405603, 8956420003, 9307441621, 9784676947, 9786942547, 13127589829, 13143449029
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OFFSET
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1,1
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COMMENTS
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All terms are prime, therefore 13143449029 is a base-7 circular prime, see A293660.
13143449029 is remarkable in that it has 12 digits in base 7 and may be the largest known nonrepunit circular prime in that base.
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LINKS
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EXAMPLE
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Base-7 expansion | Decimal value
---------------------------------
643464321244 | 13143449029
434643212446 | 8956420003
346432124464 | 7329791221
464321244643 | 9784676947
643212446434 | 13127589829
432124464346 | 8845405603
321244643464 | 6552690421
212446434643 | 4344971347
124464346432 | 2732225029
244643464321 | 5284288003
446434643212 | 9307441621
464346432124 | 9786942547
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PROG
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(PARI) rot(n) = if(#Str(n)==1, v=vector(1), v=vector(#n-1)); for(i=2, #n, v[i-1]=n[i]); u=vector(#n); for(i=1, #n, u[i]=n[i]); v=concat(v, u[1]); v
decimal(v, base) = my(w=[]); for(k=0, #v-1, w=concat(w, v[#v-k]*base^k)); sum(i=1, #w, w[i])
my(d=digits(13143449029, 7), e=d, v=[]); while(1, v=concat(v, [decimal(d, 7)]); d=rot(d); if(d==e, return(vecsort(v))))
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CROSSREFS
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KEYWORD
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nonn,base,easy,fini,full
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AUTHOR
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STATUS
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approved
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