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A276196 revision #4

A276196
Smallest prime >= decimal expansion of e truncated to n places (A011543).
0
2, 29, 271, 2719, 27191, 271829, 2718281, 27182839, 271828199, 2718281831, 27182818309, 271828182863, 2718281828489, 27182818284617, 271828182845909, 2718281828459051, 27182818284590483, 271828182845904533, 2718281828459045269, 27182818284590452387, 271828182845904523609
(list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Table of n, a(n) for n=0..20.
Eric Weisstein's World of Mathematics, Next Prime
Eric Weisstein's World of Mathematics, e
Eric Weisstein's World of Mathematics, e-Prime
Index entries related to "constant primes"
FORMULA
a(n) = A007918(A011543(n)).
a(n) = A000040(A000720(A011543(n)-1)+1).
a(A064118(n)-1) = A007512(n).
EXAMPLE
Example
a(5) = 271829, since this is the smallest prime >= floor(e*10^5) = 271828.
e = 2.71828182845904523536028747135266249775724...
MATHEMATICA
Table[NextPrime[Floor[E 10^n] - 1], {n, 0, 20}]
CROSSREFS
Cf. A000040, A000720, A001113, A007512, A007918, A011543, A064118.
Sequence in context: A342962 A342971 A124301 * A077023 A352065 A101750
Adjacent sequences: A276193 A276194 A276195 * A276197 A276198 A276199
KEYWORD
nonn,base
AUTHOR
Ilya Gutkovskiy, Aug 24 2016
STATUS
proposed

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Last modified November 8 15:19 EST 2024. Contains 377549 sequences.
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