What is the 4169th prime number?
The 4169th prime number is 39659. The next prime is 39667 (a gap of 8) and the one before is 39631.
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 4169th one is 39659.
- 2
39659 is prime because no prime up to ā39659 ā 199.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4169th prime is close to 4169 Ć ln(4169) ā 34750, and here it is 39659.
- 4
39659 has no twin: neither 39657 nor 39661 is prime.
Primes around the 4169th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4166 | 39619 | 12 |
| 4167 | 39623 | 4 |
| 4168 | 39631 | 8 |
| 4169 | 39659 | 28 |
| 4170 | 39667 | 8 |
| 4171 | 39671 | 4 |
| 4172 | 39679 | 8 |
Questions
What is the 4169th prime number?
39659.
Which prime number is 39659?
39659 is the 4169th prime number.
What is the sum of the first 4169 primes?
77,816,528.