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A063690 Numbers n such that n-th prime - phi(n) - d(n) = (n+1)-th prime - phi(n+1) - d(n+1), where d(n) = number of divisors of n. +0
1
1, 12, 20, 44, 68, 74, 146, 284, 2204, 6884, 61454, 82934, 407924, 2792144, 3988424, 8380448 (list; graph; listen)
OFFSET

1,2

COMMENT

No more terms through 10^7. - Ryan Propper (rpropper(AT)stanford.edu), Aug 26 2005

MATHEMATICA

Do[If[Prime[n] - EulerPhi[n] - DivisorSigma[0, n] == Prime[n+1] - EulerPhi[n+1] - DivisorSigma[0, n+1], Print[n]], {n, 1, 10^7}] (Propper)

PROGRAM

(PARI) for(n=1, 40000, if(prime(n) - eulerphi(n) - numdiv(n)==prime(n+1) - eulerphi(n+1) - numdiv(n+1), print(n)))

CROSSREFS

Cf. A048783, A000040, A000010, A000005.

Adjacent sequences: A063687 A063688 A063689 this_sequence A063691 A063692 A063693

Sequence in context: A082800 A026041 A082296 this_sequence A109788 A025104 A060159

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Aug 23 2001

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jul 18 2002

3 more terms from Ryan Propper (rpropper(AT)stanford.edu), Aug 26 2005

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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