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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. 1

%I #20 May 11 2023 12:44:36

%S 171,290,2145,3381,74613,10664845620,14771330561681694,

%T 2744819721528289762500

%N 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.

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

%C a(9) > 10^37 if it exists. - _Chai Wah Wu_, Aug 12 2017

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

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

%o (PARI) is(n) = my(d=digits(n)); n==prod(i=1, #d, prime(1+d[i])) \\ _Felix Fröhlich_, Aug 12 2017

%Y Cf. A097227.

%Y Fixed points of A359802.

%K base,nonn,more

%O 1,1

%A _Giovanni Resta_, Jan 12 2006

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Last modified April 16 16:49 EDT 2024. Contains 371749 sequences. (Running on oeis4.)