The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A072393 Numbers n such that n - reverse(n) = phi(n). 3
 91, 874, 3411, 9093, 40112, 44252, 54081, 67284, 80224, 90933, 91503, 4961782, 5400081, 5726691, 8750834, 9076921, 9155055, 54000081, 62023914, 90766921, 93079231, 430770922, 540000081, 636355044, 808618664, 907666921, 928709013, 4050394312, 4262971312 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS If m>1 and p=2*10^m+3 is prime then n=27*p is in the sequence because n-reversal(n)=27*(2*10^m+3)-reversal(27*(2*10^m+3))= (54*10^m+81)-(18*10^m+45)=36*10^m+36=18*(2*10^m+2)=phi(27)* phi(2*10^m+3)=phi(27*(2*10^m+3))=phi(n). Also if m>2 and p=(389*10^m+109)/3 is prime then 7*p is in the sequence (the proof is easy). Next term is greater than 2*10^8. - Farideh Firoozbakht, Jan 27 2006 a(51) > 10^12. - Giovanni Resta, Oct 28 2012 LINKS Giovanni Resta, Table of n, a(n) for n = 1..50 EXAMPLE 91 - 19 = 72 = phi(91), so 91 is a term of the sequence. MATHEMATICA Select[Range[10^5], # - FromDigits[Reverse[IntegerDigits[n]]] == EulerPhi[ # ] &] CROSSREFS Cf. A114926, A114927. Sequence in context: A043459 A038488 A213287 * A085952 A129255 A093291 Adjacent sequences:  A072390 A072391 A072392 * A072394 A072395 A072396 KEYWORD base,nonn AUTHOR Joseph L. Pe, Jul 21 2002 EXTENSIONS More terms from Farideh Firoozbakht, Jan 27 2006 a(22)-a(29) from Donovan Johnson, Dec 04 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 26 05:10 EST 2020. Contains 331273 sequences. (Running on oeis4.)