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Numbers n such that n+0, n+1, ... and n+7 are, in some order, 1 * a prime, 2 * a prime, ... and 8 * a prime.
1

%I #6 Oct 19 2017 03:14:02

%S 10780552,62198632,884811061,1457032501,3573315892,7321991041,

%T 7391371681,8557865812,11434075381,16893247141,21599190901,

%U 22487905441,28044279892,28273111012,37923188932,50238568801,59635316161

%N Numbers n such that n+0, n+1, ... and n+7 are, in some order, 1 * a prime, 2 * a prime, ... and 8 * a prime.

%e 10780552 is there because 10780552=8*1347569, 10780553=7*1540079, 10780554=6*1796759, 10780555=5*2156111, 10780556=4*2695139, 10780557=3*3593519, 10780558=2*5390279 and 10780559=1*10780559. The left factors are the integers 1 to 8; and the right factors are primes.

%Y Cf. A071367 - A071373.

%K nonn

%O 1,1

%A _Don Reble_, May 21 2002