What is the 8257th prime number?
The 8257th prime number is 84731. The next prime is 84737 (a gap of 6) and the one before is 84719.
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 8257th one is 84731.
- 2
84731 is prime because no prime up to ā84731 ā 291.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8257th prime is close to 8257 Ć ln(8257) ā 74468, and here it is 84731.
- 4
84731 has no twin: neither 84729 nor 84733 is prime.
Primes around the 8257th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8254 | 84701 | 4 |
| 8255 | 84713 | 12 |
| 8256 | 84719 | 6 |
| 8257 | 84731 | 12 |
| 8258 | 84737 | 6 |
| 8259 | 84751 | 14 |
| 8260 | 84761 | 10 |
Questions
What is the 8257th prime number?
84731.
Which prime number is 84731?
84731 is the 8257th prime number.
What is the sum of the first 8257 primes?
331,074,894.