# On the set of numbers {14, 22, 30, 42, 90}

Acta Arithmetica (1995)

- Volume: 71, Issue: 3, page 259-263
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topVamsi K. Mootha. "On the set of numbers {14, 22, 30, 42, 90}." Acta Arithmetica 71.3 (1995): 259-263. <http://eudml.org/doc/206773>.

@article{VamsiK1995,

author = {Vamsi K. Mootha},

journal = {Acta Arithmetica},

keywords = {quadratic diophantine equations; linear recurrent sequences; extendible sets; perfect squares},

language = {eng},

number = {3},

pages = {259-263},

title = {On the set of numbers \{14, 22, 30, 42, 90\}},

url = {http://eudml.org/doc/206773},

volume = {71},

year = {1995},

}

TY - JOUR

AU - Vamsi K. Mootha

TI - On the set of numbers {14, 22, 30, 42, 90}

JO - Acta Arithmetica

PY - 1995

VL - 71

IS - 3

SP - 259

EP - 263

LA - eng

KW - quadratic diophantine equations; linear recurrent sequences; extendible sets; perfect squares

UR - http://eudml.org/doc/206773

ER -

## References

top- [1] A. Baker and H. Davenport, The equations 3x²-2=y² and 8x²-7=z², Quart. J. Math. 20 (1969), 129-137. Zbl0177.06802
- [2] G. Berzsenyi, Adventures among Pₜ-sets, Quantum 1 (1991), 57.
- [3] E. Brown, Sets in which xy+k is always a square, Math. Comp. 45 (1985), 613-620. Zbl0577.10015
- [4] L. E. Dickson, History of the Theory of Numbers, Vol. II, Carnegie Institution, Washington, 1920; reprinted, Chelsea, New York, 1966. Zbl47.0888.08
- [5] C. M. Grinstead, On a method of solving a class of diophantine equations, Math. Comp. 32 (1978), 936-940. Zbl0389.10015
- [6] P. Kanagasabapathy and T. Ponnudurai, The simultaneous diophantine equations y²-3x²=-2 and z²-8x²=-7, Quart. J. Math. 26 (1975), 275-278. Zbl0309.10008
- [7] V. Mootha and G. Berzsenyi, Characterizations and extendibility of Pₜ-sets, Fibonacci Quart. 27 (1989), 287-288. Zbl0674.10010
- [8] T. Nagell, Introduction to Number Theory, Wiley, New York, 1951. Zbl0042.26702
- [9] G. Sansone, Il sistema diofanteo N+1=x², 3N+1=y², 8N+1=z², Ann. Mat. Pura Appl. 111 (1976), 125-151. Zbl0339.10017

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.