What is the 2921st prime number?
The 2921st prime number is 26641. The next prime is 26647 (a gap of 6) and the one before is 26633.
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 2921st one is 26641.
- 2
26641 is prime because no prime up to ā26641 ā 163.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2921st prime is close to 2921 Ć ln(2921) ā 23309, and here it is 26641.
- 4
26641 has no twin: neither 26639 nor 26643 is prime.
Primes around the 2921st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2918 | 26597 | 6 |
| 2919 | 26627 | 30 |
| 2920 | 26633 | 6 |
| 2921 | 26641 | 8 |
| 2922 | 26647 | 6 |
| 2923 | 26669 | 22 |
| 2924 | 26681 | 12 |
Questions
What is the 2921st prime number?
26641.
Which prime number is 26641?
26641 is the 2921st prime number.
What is the sum of the first 2921 primes?
36,510,974.