A211411 Largest m associated with n-th Pillai prime (A063980).

18, 18, 43, 18, 33, 63, 55, 69, 86, 101, 16, 50, 102, 165, 64, 210, 153, 225, 259, 177, 40, 247, 252, 220, 225, 122, 343, 297, 230, 303, 375, 316, 366, 74, 300, 311, 410, 463, 400, 370, 442, 188, 395, 377, 458, 426, 274, 327, 546, 334, 383, 324, 495, 498, 457, 643, 444, 553, 506, 359, 712, 502, 681, 369, 514

Offset

1,1

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

G. E. Hardy and M. V. Subbarao, A modified problem of Pillai and some related questions, Amer. Math. Monthly 109:6 (2002), pp. 554-559.

Formula

19 <= a(n) <= p-7 for n > 11, where p = A063980(n).

Prog

(PARI) last(p)=if(p==23, 18, my(t=Mod(1/120, p)); forstep(m=p-6, 8, -1, t/=m; if(t==-1, return(m-1))))
Pillai(p)=my(t=Mod(5040, p)); for(m=8, p-2, t*=m; if(t==-1 && p%m!=1, return(1))); 0
apply(last, select(Pillai, primes(300)))

Crossrefs

Trivially a(n) >= A063828(n). Cf. A063980.

Sequence in context: A243097 A040307 A022352 * A298378 A299245 A352365

Adjacent sequences: A211408 A211409 A211410 * A211412 A211413 A211414

Keyword

nonn

Author

Charles R Greathouse IV, Feb 10 2013

Status

approved