On integers not of the form n - φ (n)

Browkin, J., and Schinzel, A.. "On integers not of the form n - φ (n)." Colloquium Mathematicae 68.1 (1995): 55-58. <http://eudml.org/doc/210293>.

@article{Browkin1995,
abstract = {W. Sierpiński asked in 1959 (see [4], pp. 200-201, cf. [2]) whether there exist infinitely many positive integers not of the form n - φ(n), where φ is the Euler function. We answer this question in the affirmative by proving Theorem. None of the numbers $2^k·509203$ (k = 1, 2,...) is of the form n - φ(n).},
author = {Browkin, J., Schinzel, A.},
journal = {Colloquium Mathematicae},
keywords = {Sierpiński problem; Euler phi-function; open problem},
language = {eng},
number = {1},
pages = {55-58},
title = {On integers not of the form n - φ (n)},
url = {http://eudml.org/doc/210293},
volume = {68},
year = {1995},
}

TY - JOUR
AU - Browkin, J.
AU - Schinzel, A.
TI - On integers not of the form n - φ (n)
JO - Colloquium Mathematicae
PY - 1995
VL - 68
IS - 1
SP - 55
EP - 58
AB - W. Sierpiński asked in 1959 (see [4], pp. 200-201, cf. [2]) whether there exist infinitely many positive integers not of the form n - φ(n), where φ is the Euler function. We answer this question in the affirmative by proving Theorem. None of the numbers $2^k·509203$ (k = 1, 2,...) is of the form n - φ(n).
LA - eng
KW - Sierpiński problem; Euler phi-function; open problem
UR - http://eudml.org/doc/210293
ER -