What is the 8434th prime number?
The 8434th prime number is 86783. The next prime is 86813 (a gap of 30) and the one before is 86771.
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 8434th one is 86783.
- 2
86783 is prime because no prime up to ā86783 ā 294.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8434th prime is close to 8434 Ć ln(8434) ā 76244, and here it is 86783.
- 4
86783 has no twin: neither 86781 nor 86785 is prime.
Primes around the 8434th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8431 | 86753 | 10 |
| 8432 | 86767 | 14 |
| 8433 | 86771 | 4 |
| 8434 | 86783 | 12 |
| 8435 | 86813 | 30 |
| 8436 | 86837 | 24 |
| 8437 | 86843 | 6 |
Questions
What is the 8434th prime number?
86783.
Which prime number is 86783?
86783 is the 8434th prime number.
What is the sum of the first 8434 primes?
346,257,187.