What is the 4160th prime number?
The 4160th prime number is 39541. The next prime is 39551 (a gap of 10) and the one before is 39521.
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 4160th one is 39541.
- 2
39541 is prime because no prime up to ā39541 ā 198.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4160th prime is close to 4160 Ć ln(4160) ā 34666, and here it is 39541.
- 4
39541 has no twin: neither 39539 nor 39543 is prime.
Primes around the 4160th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4157 | 39509 | 6 |
| 4158 | 39511 | 2 |
| 4159 | 39521 | 10 |
| 4160 | 39541 | 20 |
| 4161 | 39551 | 10 |
| 4162 | 39563 | 12 |
| 4163 | 39569 | 6 |
Questions
What is the 4160th prime number?
39541.
Which prime number is 39541?
39541 is the 4160th prime number.
What is the sum of the first 4160 primes?
77,460,125.