What is the 4155th prime number?
The 4155th prime number is 39499. The next prime is 39503 (a gap of 4) and the one before is 39461.
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 4155th one is 39499.
- 2
39499 is prime because no prime up to ā39499 ā 198.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4155th prime is close to 4155 Ć ln(4155) ā 34620, and here it is 39499.
- 4
39499 has no twin: neither 39497 nor 39501 is prime.
Primes around the 4155th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4152 | 39443 | 4 |
| 4153 | 39451 | 8 |
| 4154 | 39461 | 10 |
| 4155 | 39499 | 38 |
| 4156 | 39503 | 4 |
| 4157 | 39509 | 6 |
| 4158 | 39511 | 2 |
Questions
What is the 4155th prime number?
39499.
Which prime number is 39499?
39499 is the 4155th prime number.
What is the sum of the first 4155 primes?
77,262,540.