What is the 541st prime number?
The 541st prime number is 3911. The next prime is 3917 (a gap of 6) and the one before is 3907.
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 541st one is 3911.
- 2
3911 is prime because no prime up to ā3911 ā 62.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 541st prime is close to 541 Ć ln(541) ā 3405, and here it is 3911.
- 4
3911 has no twin: neither 3909 nor 3913 is prime.
Primes around the 541st
| Position | Prime | Gap from the previous |
|---|---|---|
| 538 | 3881 | 4 |
| 539 | 3889 | 8 |
| 540 | 3907 | 18 |
| 541 | 3911 | 4 |
| 542 | 3917 | 6 |
| 543 | 3919 | 2 |
| 544 | 3923 | 4 |
Questions
What is the 541st prime number?
3911.
Which prime number is 3911?
3911 is the 541st prime number.
What is the sum of the first 541 primes?
978,042.