What is the 4066th prime number?
The 4066th prime number is 38603. The next prime is 38609 (a gap of 6) and the one before is 38593.
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 4066th one is 38603.
- 2
38603 is prime because no prime up to ā38603 ā 196.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4066th prime is close to 4066 Ć ln(4066) ā 33790, and here it is 38603.
- 4
38603 has no twin: neither 38601 nor 38605 is prime.
Primes around the 4066th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4063 | 38567 | 6 |
| 4064 | 38569 | 2 |
| 4065 | 38593 | 24 |
| 4066 | 38603 | 10 |
| 4067 | 38609 | 6 |
| 4068 | 38611 | 2 |
| 4069 | 38629 | 18 |
Questions
What is the 4066th prime number?
38603.
Which prime number is 38603?
38603 is the 4066th prime number.
What is the sum of the first 4066 primes?
73,788,441.