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A115078 Numbers k such that k = prime(1 + d_1)*prime(1 + d_2)*...*prime(1 + d_m), where d_1 d_2 ... d_m is the decimal expansion of k. 0
171, 290, 2145, 3381, 74613, 10664845620, 14771330561681694, 2744819721528289762500 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(9), if it exists, must have more than 32 digits.

a(9) > 10^37 if it exists. - Chai Wah Wu, Aug 12 2017

LINKS

Table of n, a(n) for n=1..8.

EXAMPLE

a(2)=290 because 290 = p(1+2)*p(1+9)*p(1+0) = 5*29*2.

MATHEMATICA

t={}; Do[If[n==Times@@Prime[1+IntegerDigits@n], Print[n]; AppendTo[t, n]], {n, 10^5}]; t

PROG

(PARI) is(n) = my(d=digits(n)); n==prod(i=1, #d, prime(1+d[i])) \\ Felix Fröhlich, Aug 12 2017

CROSSREFS

Cf. A097227.

Sequence in context: A031900 A349097 A120819 * A183996 A062907 A266315

Adjacent sequences: A115075 A115076 A115077 * A115079 A115080 A115081

KEYWORD

base,nonn,more

AUTHOR

Giovanni Resta, Jan 12 2006

STATUS

approved

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Last modified March 31 19:27 EDT 2023. Contains 361672 sequences. (Running on oeis4.)