What is the 8934th prime number?
The 8934th prime number is 92479. The next prime is 92489 (a gap of 10) and the one before is 92467.
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 8934th one is 92479.
- 2
92479 is prime because no prime up to ā92479 ā 304.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8934th prime is close to 8934 Ć ln(8934) ā 81278, and here it is 92479.
- 4
92479 has no twin: neither 92477 nor 92481 is prime.
Primes around the 8934th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8931 | 92459 | 28 |
| 8932 | 92461 | 2 |
| 8933 | 92467 | 6 |
| 8934 | 92479 | 12 |
| 8935 | 92489 | 10 |
| 8936 | 92503 | 14 |
| 8937 | 92507 | 4 |
Questions
What is the 8934th prime number?
92479.
Which prime number is 92479?
92479 is the 8934th prime number.
What is the sum of the first 8934 primes?
391,092,339.