What is the 4141st prime number?
The 4141st prime number is 39341. The next prime is 39343 (a gap of 2) and the one before is 39323.
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 4141st one is 39341.
- 2
39341 is prime because no prime up to ā39341 ā 198.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4141st prime is close to 4141 Ć ln(4141) ā 34489, and here it is 39341.
- 4
39341 is a twin prime: 39341 and 39343 are both prime.
Primes around the 4141st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4138 | 39313 | 12 |
| 4139 | 39317 | 4 |
| 4140 | 39323 | 6 |
| 4141 | 39341 | 18 |
| 4142 | 39343 | 2 |
| 4143 | 39359 | 16 |
| 4144 | 39367 | 8 |
Questions
What is the 4141st prime number?
39341.
Which prime number is 39341?
39341 is the 4141st prime number.
What is the sum of the first 4141 primes?
76,710,826.