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A114930 Numbers n such that phi(n)=2*reversal(n). 1
6180, 27630, 2914830, 4471740, 27000630 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

If m>1 and p=3*10^m+7 is prime then 90*p is in the sequence because phi(90*p)=phi(90)*phi(p)=24*(3*10^m+6)=2*(36*10^m+72) =2*reversal(27*10^m+63)=2*reversal(9*p)=2*reversal(90*p). Note that 30 divides all known terms of this sequence. Next term is greater than 11*10^7.

EXAMPLE

637062480 is in the sequence because phi(637062480)=2*84260736=

2*reversal(637062480).

MATHEMATICA

Do[If[EulerPhi[n]==2*FromDigits[Reverse[IntegerDigits[n]]], Print[n]], {n, 110000000}]

CROSSREFS

Cf. A069215, A114931.

Sequence in context: A033288 A057880 A151967 * A068757 A186602 A031836

Adjacent sequences:  A114927 A114928 A114929 * A114931 A114932 A114933

KEYWORD

base,more,nonn

AUTHOR

Farideh Firoozbakht (mymontain(AT)yahoo.com), Jan 29 2006

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Last modified February 17 17:35 EST 2012. Contains 206061 sequences.