What is the 2902nd prime number?
The 2902nd prime number is 26417. The next prime is 26423 (a gap of 6) and the one before is 26407.
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 2902nd one is 26417.
- 2
26417 is prime because no prime up to ā26417 ā 162.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2902nd prime is close to 2902 Ć ln(2902) ā 23138, and here it is 26417.
- 4
26417 has no twin: neither 26415 nor 26419 is prime.
Primes around the 2902nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2899 | 26393 | 6 |
| 2900 | 26399 | 6 |
| 2901 | 26407 | 8 |
| 2902 | 26417 | 10 |
| 2903 | 26423 | 6 |
| 2904 | 26431 | 8 |
| 2905 | 26437 | 6 |
Questions
What is the 2902nd prime number?
26417.
Which prime number is 26417?
26417 is the 2902nd prime number.
What is the sum of the first 2902 primes?
36,006,977.