OP-00918 Open The Hardy–Littlewood prime k-tuples conjecture NT · Hardy–Littlewood conjectures · prime constellations · prime k-tuples · singular series
OP-00919 Open The Hardy–Littlewood asymptotic formula for Goldbach representations NT · additive prime number theory · Goldbach's conjecture · Hardy–Littlewood conjectures · singular series
OP-00920 Open The Hardy–Littlewood asymptotic formula for prime pairs with a given difference NT · Hardy–Littlewood conjectures · prime gaps · singular series · twin primes
OP-00921 Open Representations n = ap + bp′ by two primes with fixed coefficients NT · additive prime number theory · Goldbach's conjecture · Hardy–Littlewood conjectures · singular series
OP-00922 Open Prime solutions of the linear equation ap′ − bp = k NT · Hardy–Littlewood conjectures · linear equations in primes · prime pairs · singular series