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%I #6 Mar 11 2023 15:20:22
%S 3,25,91,2101,23101,60061,510511,29099071,3792578791,84106011991,
%T 2005604901301,252305096583541,11561510014033981,52331045326680121,
%U 31359378912013061911,1792403716245452460151,98060777857864844592571
%N Smallest number == 0 mod (n+1)-th prime and == 1 mod all smaller primes.
%H Harvey P. Dale, <a href="/A075306/b075306.txt">Table of n, a(n) for n = 1..349</a>
%e a(4) = 2101 == 0 mod 11 and 2101 == 1 mod (2*3*5*7)
%t Table[ChineseRemainder[PadLeft[{0},n,1],Prime[Range[n]]],{n,2,20}] (* _Harvey P. Dale_, Mar 11 2023 *)
%o (PARI) for(n=1,20,p=1:forprime(k=2, prime(n),p=p*k):pn=prime(n+1):s=0:while((s+1)%pn>0,s=s+p):print1(s+1","))
%K nonn
%O 1,1
%A _Amarnath Murthy_, Sep 13 2002
%E More terms from _Ralf Stephan_, Mar 24 2003