What is the 2028th prime number?
The 2028th prime number is 17657. The next prime is 17659 (a gap of 2) and the one before is 17627.
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 2028th one is 17657.
- 2
17657 is prime because no prime up to ā17657 ā 132.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2028th prime is close to 2028 Ć ln(2028) ā 15443, and here it is 17657.
- 4
17657 is a twin prime: 17657 and 17659 are both prime.
Primes around the 2028th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2025 | 17609 | 10 |
| 2026 | 17623 | 14 |
| 2027 | 17627 | 4 |
| 2028 | 17657 | 30 |
| 2029 | 17659 | 2 |
| 2030 | 17669 | 10 |
| 2031 | 17681 | 12 |
Questions
What is the 2028th prime number?
17657.
Which prime number is 17657?
17657 is the 2028th prime number.
What is the sum of the first 2028 primes?
16,765,087.