What is the 4069th prime number?
The 4069th prime number is 38629. The next prime is 38639 (a gap of 10) and the one before is 38611.
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 4069th one is 38629.
- 2
38629 is prime because no prime up to ā38629 ā 196.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4069th prime is close to 4069 Ć ln(4069) ā 33818, and here it is 38629.
- 4
38629 has no twin: neither 38627 nor 38631 is prime.
Primes around the 4069th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4066 | 38603 | 10 |
| 4067 | 38609 | 6 |
| 4068 | 38611 | 2 |
| 4069 | 38629 | 18 |
| 4070 | 38639 | 10 |
| 4071 | 38651 | 12 |
| 4072 | 38653 | 2 |
Questions
What is the 4069th prime number?
38629.
Which prime number is 38629?
38629 is the 4069th prime number.
What is the sum of the first 4069 primes?
73,904,290.