2026

This number is a composite.

2026 is considered "prime productive" because various combinations of its digits can be used to generate prime numbers. E.g., 2026 + 1, 2*026 + 1, 20*26 + 1, and 202*6 + 1 are all primes. [Davis]

2026202520242023 is prime. [Bopardikar]

As Bopardikar suggests, here are some prime numbers starting with 2026 and using concatenation with some of their close relatives in that decade: 20262027202820292023 (circular mirror of 2026202520242023) ; 2026202820272021 ; 2026202820302027 ; 202620242021 ; 202620212021 ; 2026202020232023 ; 2026202020262023. [Malecot]

(2+0+2+6)+(2026+2025+2024+...+3+2+1) is also prime! [Bopardikar]

The number 2026 is a product of two prime numbers: 2 x 1013 = 2026, therefore a semiprime. The number 2026 is also the sum of two primes: 23 + 2003 = 2026. [Kumaresh]

The first occurrence of a prime gap (difference between consecutive primes) of 2026 has not been discovered yet in the ongoing search for "first occurrence prime gaps". [Daniels]