What is the 8438th prime number?
The 8438th prime number is 86851. The next prime is 86857 (a gap of 6) and the one before is 86843.
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 8438th one is 86851.
- 2
86851 is prime because no prime up to ā86851 ā 294.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8438th prime is close to 8438 Ć ln(8438) ā 76284, and here it is 86851.
- 4
86851 has no twin: neither 86849 nor 86853 is prime.
Primes around the 8438th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8435 | 86813 | 30 |
| 8436 | 86837 | 24 |
| 8437 | 86843 | 6 |
| 8438 | 86851 | 8 |
| 8439 | 86857 | 6 |
| 8440 | 86861 | 4 |
| 8441 | 86869 | 8 |
Questions
What is the 8438th prime number?
86851.
Which prime number is 86851?
86851 is the 8438th prime number.
What is the sum of the first 8438 primes?
346,604,531.