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A154363 Numbers from Bhargava's prime-universality criterion theorem 3
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 67, 73 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Bhargava's prime-universality criterion theorem asserts that an integer-matrix quadratic form represents all prime numbers if and only if it represents all numbers in this sequence.

REFERENCES

H. Cohen, Number Theory, Springer, 2007, page 313.

M.-H. Kim, Recent developments on universal forms, Contemporary Math., 344 (2004), 215-228.

LINKS

Table of n, a(n) for n=1..17.

CROSSREFS

A030050 (numbers from the 15 theorem), A030051 (numbers from the 290 theorem), A116582 (numbers from the 33 theorem)

Sequence in context: A049545 A127566 A103146 * A049555 A052042 A245576

Adjacent sequences:  A154360 A154361 A154362 * A154364 A154365 A154366

KEYWORD

fini,full,nonn

AUTHOR

Scott Duke Kominers (kominers(AT)fas.harvard.edu), Jan 07 2009

STATUS

approved

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Last modified August 28 00:41 EDT 2015. Contains 261101 sequences.