What is the 2026th prime number?
The 2026th prime number is 17623. The next prime is 17627 (a gap of 4) and the one before is 17609.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2026th one is 17623.
- 2
17623 is prime because no prime up to ā17623 ā 132.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2026th prime is close to 2026 Ć ln(2026) ā 15426, and here it is 17623.
- 4
17623 has no twin: neither 17621 nor 17625 is prime.
Primes around the 2026th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2023 | 17597 | 16 |
| 2024 | 17599 | 2 |
| 2025 | 17609 | 10 |
| 2026 | 17623 | 14 |
| 2027 | 17627 | 4 |
| 2028 | 17657 | 30 |
| 2029 | 17659 | 2 |
Questions
What is the 2026th prime number?
17623.
Which prime number is 17623?
17623 is the 2026th prime number.
What is the sum of the first 2026 primes?
16,729,803.