What is the 8440th prime number?
The 8440th prime number is 86861. The next prime is 86869 (a gap of 8) and the one before is 86857.
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 8440th one is 86861.
- 2
86861 is prime because no prime up to ā86861 ā 294.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8440th prime is close to 8440 Ć ln(8440) ā 76304, and here it is 86861.
- 4
86861 has no twin: neither 86859 nor 86863 is prime.
Primes around the 8440th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8437 | 86843 | 6 |
| 8438 | 86851 | 8 |
| 8439 | 86857 | 6 |
| 8440 | 86861 | 4 |
| 8441 | 86869 | 8 |
| 8442 | 86923 | 54 |
| 8443 | 86927 | 4 |
Questions
What is the 8440th prime number?
86861.
Which prime number is 86861?
86861 is the 8440th prime number.
What is the sum of the first 8440 primes?
346,778,249.