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A063519 Least simultaneous solutions of Phi[x+d]=Phi[x]+d and Sigma[x+d]=Sigma[x]+d, where d=2n. 0
65, 95, 341, 95, 161, 115, 629, 203, 145, 203, 365, 155, 185, 155, 301, 185, 329, 235, 1541, 287, 185, 287, 413, 205, 329, 215, 469, 215, 905, 371, 365, 305, 553, 371, 1037, 235, 1145, 623, 445, 371, 35249, 295, 1133, 371, 497, 515, 749, 413, 305, 671, 565 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

No such simultaneous solutions were found if d=12n+6.

LINKS

Table of n, a(n) for n=1..51.

FORMULA

a(n)=Min{x; Phi[x+12n]=Phi[x]+12n and Sigma[x+12n]=Sigma[x]+12n} Phi[]=A000010(), Sigma[]=A000203().

EXAMPLE

n=97, d=12.97=1164, a(97)=10217, Phi[10217]+1164=9600+1164=10764=Phi[11381]; Sigma[10217]+1164=10836+1164=12000=Sigma[11381].

CROSSREFS

A000010, A000203, A054904, A054905, A055458.

Sequence in context: A020194 A094447 A020224 * A299456 A300094 A075893

Adjacent sequences:  A063516 A063517 A063518 * A063520 A063521 A063522

KEYWORD

nonn

AUTHOR

Labos Elemer, Aug 01 2001

STATUS

approved

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Last modified November 12 16:50 EST 2018. Contains 317116 sequences. (Running on oeis4.)