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A309835 Numbers k such that k + phi(k) is a repunit. 2

%I #24 Dec 30 2023 12:35:14

%S 5798663,5555564201311,5555574497311,5555593942711,66815976110703,

%T 69437045907973255623

%N Numbers k such that k + phi(k) is a repunit.

%C Also in the sequence is 555555555555555555555556288388841217550575591423513701223. - _Robert Israel_, Aug 20 2019

%C The number 5975946235638859341313216528710061511 is also in the sequence. - _Daniel Suteu_, Aug 22 2019

%e 5798663 is a terms since phi(5798663) = 5312448 and 5798663 + 5312448 = 11111111.

%o (PARI) isok(k) = my(d=digits(k+eulerphi(k))); vecmin(d)==1 && vecmax(d)==1; \\ _Daniel Suteu_, Aug 22 2019

%Y Subsequence of A116018.

%Y Cf. A000010, A002275, A121048, A244444.

%K nonn,base,more

%O 1,1

%A _Giovanni Resta_, Aug 19 2019

%E a(5) from _Daniel Suteu_ confirmed by _Max Alekseyev_, Oct 25 2023

%E a(6) from _Max Alekseyev_, Nov 30 2023

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Last modified April 19 15:11 EDT 2024. Contains 371794 sequences. (Running on oeis4.)