What is the 3370th prime number?
The 3370th prime number is 31259. The next prime is 31267 (a gap of 8) and the one before is 31253.
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 3370th one is 31259.
- 2
31259 is prime because no prime up to ā31259 ā 176.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3370th prime is close to 3370 Ć ln(3370) ā 27373, and here it is 31259.
- 4
31259 has no twin: neither 31257 nor 31261 is prime.
Primes around the 3370th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3367 | 31247 | 10 |
| 3368 | 31249 | 2 |
| 3369 | 31253 | 4 |
| 3370 | 31259 | 6 |
| 3371 | 31267 | 8 |
| 3372 | 31271 | 4 |
| 3373 | 31277 | 6 |
Questions
What is the 3370th prime number?
31259.
Which prime number is 31259?
31259 is the 3370th prime number.
What is the sum of the first 3370 primes?
49,507,365.