Prime values of a^2+p^4

Prime values of a^2+p^4

Many remarkably difficult conjectures in prime number theory take the form that there are infinitely many primes in some set of natural numbers S . In many interesting examples, we even have conjectured asymptotic formulas for the number of primes in S . Thus, we think that there are infinitely many...

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Manylion Llyfryddiaeth
Prif Awduron:	Heath-Brown, D, Li, X
Fformat:	Journal article
Cyhoeddwyd:	Springer 2016

Eitemau Tebyg

Almost prime triples and Chen's theorem
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (2016)

The largest prime factor of X-3+2
gan: Heath-Brown, D
Cyhoeddwyd: (2001)

The largest prime factor of $X^3+2$
gan: Heath-Brown, D
Cyhoeddwyd: (2001)

Primes represented by x(3)+2y(3)
gan: Heath-Brown, D
Cyhoeddwyd: (2001)

Primes represented by $x^3+2y^3$
gan: Heath-Brown, D
Cyhoeddwyd: (2001)

Almost-prime k-tuples
gan: Heath-Brown, D
Cyhoeddwyd: (1997)

Primes represented by x3 + 2y3
gan: Heath-Brown, DR
Cyhoeddwyd: (2001)

Lagrange's four squares theorem with one prime and three almost-prime variables
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (2003)

Lagrange's four squares theorem with one prime and three almost--prime variables
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (2003)

The differences between consecutive primes, V
gan: Heath-Brown, D
Cyhoeddwyd: (2019)

The Pjateckiǐ-Šapiro prime number theorem
gan: Heath-Brown, D
Cyhoeddwyd: (1983)

The largest prime factor of the integers in an interval
gan: Heath-Brown, D
Cyhoeddwyd: (1996)

Carmichael numbers with three prime factors
gan: Heath-Brown, D
Cyhoeddwyd: (2007)

Primes represented by cubic forms
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (2002)

Prime number theory and the Riemann zeta-function
gan: Heath-Brown, D
Cyhoeddwyd: (2005)

Prime number theory and the Riemann Zeta-function
gan: Heath-Brown, D
Cyhoeddwyd: (2005)

Siegel zeros and the least prime in an arithmetic progression
gan: Heath-Brown, D
Cyhoeddwyd: (1990)

A note on the differences between consecutive primes
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (1984)

The Rational Valued Characters Table of the group Q2p×D4 when p is a Prime Number
gan: Prof.Naseer Rasool Mahmood, et al.
Cyhoeddwyd: (2016-12-01)

Primes represented by binary cubic forms
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (2002)

Integers represented as a sum of primes and powers of two
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (2002)

The largest prime factor of the integers in an interval, II
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (1998)

On the representation of primes by cubic polynomials in two variables
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (2004)

On the representation of primes by cubic polynomials in two variables
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (2004)

Zero-free regions for Dirichlet $L$-functions, and the least prime in an arithmetic progression
gan: Heath-Brown, D
Cyhoeddwyd: (1992)

Stereoselective domino assembling of five molecules: one-pot approach to $(2^\primeR^*,3S^*,4^\primeR^*)$-$2^\prime,4^\prime$-diaryl-$1^\prime,4^\prime$-dihydro-$2^\primeH $-spiro[indoline-$3,3^\prime$-pyridines]
gan: Ryzhkov, Fedor V., et al.
Cyhoeddwyd: (2020-06-01)

Square-free values of $n^2+1$
gan: Heath-Brown, D
Cyhoeddwyd: (2012)

Square-free values of n(2)+1
gan: Heath-Brown, D
Cyhoeddwyd: (2012)

A new characterization of $A_{p}$ with $p $ and $p-2$ are twin primes
gan: Seyed Sadegh Salehi Amiri, et al.
Cyhoeddwyd: (2015-09-01)

On the prime values represented by polynomials
gan: Foo, Timothy
Cyhoeddwyd: (2013)

On Semisymmetric Cubic Graphs of Order 20p2, p Prime
gan: Shahsavaran Mohsen, et al.
Cyhoeddwyd: (2021-11-01)

P2-25: Love Priming and Perception Bias
gan: Hong Im Shin
Cyhoeddwyd: (2012-10-01)

Distribution of αp2 Modulo One with Prime Variable p of a Special Form
gan: Fei Xue, et al.
Cyhoeddwyd: (2021-01-01)

Targeted Synthesis of 3,3′-, 3,4′- and 3,6′-Phenylpropanoid Sucrose Esters
gan: Kathy, Wong Pooi Wen, et al.
Cyhoeddwyd: (2022)

Targeted Synthesis of 3,3′-, 3,4′- and 3,6′-Phenylpropanoid Sucrose Esters
gan: Kathy, Wong Pooi Wen, et al.
Cyhoeddwyd: (2022)

POWER-FREE VALUES OF POLYNOMIALS
gan: Heath-Brown, D
Cyhoeddwyd: (2013)

Power-free values of polynomials
gan: Heath-Brown, D
Cyhoeddwyd: (2013)

A mean value estimate for real character sums
gan: Heath-Brown, D
Cyhoeddwyd: (1995)

Lucas numbers of the form PX2, where P is prime
gan: Neville Robbins
Cyhoeddwyd: (1991-01-01)

There are no Carmichael numbers of the form $2^np+1$ with $p$ prime
gan: Alahmadi, Adel, et al.
Cyhoeddwyd: (2022-10-01)