A327811 - OEIS

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A327811

Numbers obtained from cyclically permuting the base-7 digits of 13143449029 and converting back to decimal.

2732225029, 4344971347, 5284288003, 6552690421, 7329791221, 8845405603, 8956420003, 9307441621, 9784676947, 9786942547, 13127589829, 13143449029

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..12.

EXAMPLE

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

PROG

(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))))

CROSSREFS

Cf. A293142, A293660, A327835.

Sequence in context: A034648 A274816 A216902 * A327835 A295468 A257913

Adjacent sequences: A327808 A327809 A327810 * A327812 A327813 A327814

KEYWORD

nonn,base,easy,fini,full

AUTHOR

Felix Fröhlich, Sep 26 2019

STATUS

approved