What is the 2920th prime number?
The 2920th prime number is 26633. The next prime is 26641 (a gap of 8) and the one before is 26627.
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 2920th one is 26633.
- 2
26633 is prime because no prime up to ā26633 ā 163.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2920th prime is close to 2920 Ć ln(2920) ā 23300, and here it is 26633.
- 4
26633 has no twin: neither 26631 nor 26635 is prime.
Primes around the 2920th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2917 | 26591 | 18 |
| 2918 | 26597 | 6 |
| 2919 | 26627 | 30 |
| 2920 | 26633 | 6 |
| 2921 | 26641 | 8 |
| 2922 | 26647 | 6 |
| 2923 | 26669 | 22 |
Questions
What is the 2920th prime number?
26633.
Which prime number is 26633?
26633 is the 2920th prime number.
What is the sum of the first 2920 primes?
36,484,333.