What is the 4151st prime number?
The 4151st prime number is 39439. The next prime is 39443 (a gap of 4) and the one before is 39419.
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 4151st one is 39439.
- 2
39439 is prime because no prime up to ā39439 ā 198.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4151st prime is close to 4151 Ć ln(4151) ā 34582, and here it is 39439.
- 4
39439 has no twin: neither 39437 nor 39441 is prime.
Primes around the 4151st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4148 | 39397 | 14 |
| 4149 | 39409 | 12 |
| 4150 | 39419 | 10 |
| 4151 | 39439 | 20 |
| 4152 | 39443 | 4 |
| 4153 | 39451 | 8 |
| 4154 | 39461 | 10 |
Questions
What is the 4151st prime number?
39439.
Which prime number is 39439?
39439 is the 4151st prime number.
What is the sum of the first 4151 primes?
77,104,686.