What is the 4122nd prime number?
The 4122nd prime number is 39157. The next prime is 39161 (a gap of 4) and the one before is 39139.
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 4122nd one is 39157.
- 2
39157 is prime because no prime up to ā39157 ā 197.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4122nd prime is close to 4122 Ć ln(4122) ā 34312, and here it is 39157.
- 4
39157 has no twin: neither 39155 nor 39159 is prime.
Primes around the 4122nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4119 | 39119 | 6 |
| 4120 | 39133 | 14 |
| 4121 | 39139 | 6 |
| 4122 | 39157 | 18 |
| 4123 | 39161 | 4 |
| 4124 | 39163 | 2 |
| 4125 | 39181 | 18 |
Questions
What is the 4122nd prime number?
39157.
Which prime number is 39157?
39157 is the 4122nd prime number.
What is the sum of the first 4122 primes?
75,965,197.