What is the 4123rd prime number?
The 4123rd prime number is 39161. The next prime is 39163 (a gap of 2) and the one before is 39157.
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 4123rd one is 39161.
- 2
39161 is prime because no prime up to ā39161 ā 197.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4123rd prime is close to 4123 Ć ln(4123) ā 34321, and here it is 39161.
- 4
39161 is a twin prime: 39161 and 39163 are both prime.
Primes around the 4123rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4120 | 39133 | 14 |
| 4121 | 39139 | 6 |
| 4122 | 39157 | 18 |
| 4123 | 39161 | 4 |
| 4124 | 39163 | 2 |
| 4125 | 39181 | 18 |
| 4126 | 39191 | 10 |
Questions
What is the 4123rd prime number?
39161.
Which prime number is 39161?
39161 is the 4123rd prime number.
What is the sum of the first 4123 primes?
76,004,358.