What is the 3257th prime number?
The 3257th prime number is 30113. The next prime is 30119 (a gap of 6) and the one before is 30109.
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 3257th one is 30113.
- 2
30113 is prime because no prime up to ā30113 ā 173.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3257th prime is close to 3257 Ć ln(3257) ā 26344, and here it is 30113.
- 4
30113 has no twin: neither 30111 nor 30115 is prime.
Primes around the 3257th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3254 | 30097 | 6 |
| 3255 | 30103 | 6 |
| 3256 | 30109 | 6 |
| 3257 | 30113 | 4 |
| 3258 | 30119 | 6 |
| 3259 | 30133 | 14 |
| 3260 | 30137 | 4 |
Questions
What is the 3257th prime number?
30113.
Which prime number is 30113?
30113 is the 3257th prime number.
What is the sum of the first 3257 primes?
46,036,696.