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A001747 2 together with primes multiplied by 2. +0
19
2, 4, 6, 10, 14, 22, 26, 34, 38, 46, 58, 62, 74, 82, 86, 94, 106, 118, 122, 134, 142, 146, 158, 166, 178, 194, 202, 206, 214, 218, 226, 254, 262, 274, 278, 298, 302, 314, 326, 334, 346, 358, 362, 382, 386, 394, 398, 422, 446, 454, 458, 466, 478, 482, 502, 514, 526, 538, 542, 554, 562, 566, 586, 614, 622, 626, 634 (list; graph; listen)
OFFSET

1,1

COMMENT

When supplemented with 8, may be considered the "even primes", since these are the even numbers n = 2k which are divisible just by 1, 2, k and 2k - Louis Zuckerman (louis(AT)trapezoid.com), Sep 12 2000.

Sequence gives solutions of sigma(n)-phi(n)=n+tau(n) where tau(n) is the number of divisors of n

Numbers n such that sigma(n)=3*(n-phi(n))

Except for 2, orders of non-cyclic groups k (in A060679(n)) such that x^k==1 (mod k) has only 1 solution 2<=x<=k - Benoit Cloitre (benoit7848c(AT)orange.fr), May 10 2002

Except for initial terms, this sequence = A073582 = A074845 = A077017. Starting with the term 10, they are identical. - Robert G. Wilson v, Jun 15 2004

a(n) = A116366(n-2,n-2) for n>2. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 06 2006

A006093(n) = A143201(a(n+1)) for n>1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 12 2008]

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

FORMULA

n such that A092673(n)=2 - Jon Perry (perry(AT)globalnet.co.uk), Mar 02 2004

CROSSREFS

Cf. A060679, A009530, A098764.

a(n) = A001043(n) - A001223(n+1), except for initial term.

{2} UNION {A100484}.

Adjacent sequences: A001744 A001745 A001746 this_sequence A001748 A001749 A001750

Sequence in context: A000065 A023499 A103445 this_sequence A048670 A077625 A027383

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 8 19:30 EST 2009. Contains 166227 sequences.


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