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A341442
a(n) is the position of the start of the first occurrence of prime(n) after the decimal point in the expansion of e.
0
4, 17, 11, 1, 200, 27, 88, 108, 16, 131, 189, 270, 124, 134, 25, 18, 11, 242, 59, 1, 157, 168, 205, 221, 35, 195, 941, 283, 1748, 355, 370, 4604, 1574, 1998, 223, 413, 201, 483, 232, 599, 2875, 120, 1382, 108, 607, 1067, 426, 2494, 1329, 517, 178, 574, 2133
OFFSET
1,1
FORMULA
a(n) = A078197(prime(n)). - Rémy Sigrist, Feb 12 2021
EXAMPLE
The first position at which prime(1)=2 occurs to the right of the decimal point in e=2.71828... is the 4th digit after the decimal point, so a(1)=4.
MATHEMATICA
en=Characters[ToString@N[E, 10000]];
For[x=1, x<=100, x++, Print["x=", x, " ", prn=Prime[x], " ", pos=First[SequencePosition[en, Characters[ToString[prn]]]-2]]]
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Gregory Allen, Feb 11 2021
STATUS
approved