This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
Table[(n! + 5)/5, {n, 5, 30}]
Table[(n! + 6)/6, {n, 3, 30}]
Table[(n! + 7)/7, {n, 7, 30}]
Table[(n! + 8)/8, {n, 4, 30}]
A139163:=n->(ithprime(n)! + 5)/5; seq(A139163(n), n=3..15); # Wesley Ivan Hurt, Jan 23 2014
Table[(Prime[n]! + 5)/5, {n, 3, 30}]
a(n) = (prime(n)!+5)/5; \\ Michel Marcus, Jan 23 2014
f:= proc(n) local F,m,Q,E,p;
F:= ifactors(n)[2];
m:= nops(F);
Q:= map(t -> t[1],F);
E:= map(t -> t[2],F);
p:= max(Q)-1;
do
p:= nextprime(p);
if andmap(i -> add(floor(p/Q[i]^j),j=1..floor(log[Q[i]](p))) >= E[i], [$1..m]) then return p fi;
od
end proc:
f(1):= 2:
map(numtheory:-pi @ f, [$1..100]); # Robert Israel, Mar 07 2018
a = {}; Do[m = 1; While[ ! IntegerQ[Prime[m]!/n], m++ ]; AppendTo[a, m], {n, 1, 100}]; a
a(n) = forprime(p=2,, if (!(p! % n), return (primepi(p)))); \\ Michel Marcus, Mar 08 2018
f:= proc(n) local F,m,Q,E,p;
F:= ifactors(n)[2];
m:= nops(F);
Q:= map(t -> t[1],F);
E:= map(t -> t[2],F);
p:= max(Q)-1;
do
p:= nextprime(p);
if andmap(i -> add(floor(p/Q[i]^j),j=1..floor(log[Q[i]](p))) >= E[i], [$1..m]) then return p fi;
od
end proc:
f(1):= 2:
map(f, [$1..100]); # Robert Israel, Mar 07 2018
a = {}; Do[m = 1; While[ ! IntegerQ[Prime[m]!/n], m++ ]; AppendTo[a, Prime[m]], {n, 1, 100}]; a
a(n) = forprime(p=2,, if (!(p! % n), return (p))); \\ Michel Marcus, Mar 08 2018
Table[(Prime[n]! + 6)/6, {n, 2, 30}]
Table[(Prime[n]! + 7)/7, {n, 4, 30}]
a = {}; Do[ k = 1; While[ ! PrimeQ[ (k! + n)/n ], k++ ]; AppendTo[ a, (k! + n)/n ], {n, 1, 100} ]; a [Corrected May 06 2008]
a(n)=my(k,t);until(denominator(t=k++!/n+1)==1&&ispseudoprime(t),);t \\ Charles R Greathouse IV, Jul 19 2011