What is the 8431st prime number?
The 8431st prime number is 86753. The next prime is 86767 (a gap of 14) and the one before is 86743.
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 8431st one is 86753.
- 2
86753 is prime because no prime up to ā86753 ā 294.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8431st prime is close to 8431 Ć ln(8431) ā 76213, and here it is 86753.
- 4
86753 has no twin: neither 86751 nor 86755 is prime.
Primes around the 8431st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8428 | 86719 | 8 |
| 8429 | 86729 | 10 |
| 8430 | 86743 | 14 |
| 8431 | 86753 | 10 |
| 8432 | 86767 | 14 |
| 8433 | 86771 | 4 |
| 8434 | 86783 | 12 |
Questions
What is the 8431st prime number?
86753.
Which prime number is 86753?
86753 is the 8431st prime number.
What is the sum of the first 8431 primes?
345,996,866.