What is the 4121st prime number?
The 4121st prime number is 39139. The next prime is 39157 (a gap of 18) and the one before is 39133.
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 4121st one is 39139.
- 2
39139 is prime because no prime up to ā39139 ā 197.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4121st prime is close to 4121 Ć ln(4121) ā 34303, and here it is 39139.
- 4
39139 has no twin: neither 39137 nor 39141 is prime.
Primes around the 4121st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4118 | 39113 | 6 |
| 4119 | 39119 | 6 |
| 4120 | 39133 | 14 |
| 4121 | 39139 | 6 |
| 4122 | 39157 | 18 |
| 4123 | 39161 | 4 |
| 4124 | 39163 | 2 |
Questions
What is the 4121st prime number?
39139.
Which prime number is 39139?
39139 is the 4121st prime number.
What is the sum of the first 4121 primes?
75,926,040.