What is the 2901st prime number?
The 2901st prime number is 26407. The next prime is 26417 (a gap of 10) and the one before is 26399.
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 2901st one is 26407.
- 2
26407 is prime because no prime up to ā26407 ā 162.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2901st prime is close to 2901 Ć ln(2901) ā 23129, and here it is 26407.
- 4
26407 has no twin: neither 26405 nor 26409 is prime.
Primes around the 2901st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2898 | 26387 | 16 |
| 2899 | 26393 | 6 |
| 2900 | 26399 | 6 |
| 2901 | 26407 | 8 |
| 2902 | 26417 | 10 |
| 2903 | 26423 | 6 |
| 2904 | 26431 | 8 |
Questions
What is the 2901st prime number?
26407.
Which prime number is 26407?
26407 is the 2901st prime number.
What is the sum of the first 2901 primes?
35,980,560.