What is the 7041st prime number?
The 7041st prime number is 71119. The next prime is 71129 (a gap of 10) and the one before is 71089.
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 7041st one is 71119.
- 2
71119 is prime because no prime up to ā71119 ā 266.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7041st prime is close to 7041 Ć ln(7041) ā 62380, and here it is 71119.
- 4
71119 has no twin: neither 71117 nor 71121 is prime.
Primes around the 7041st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7038 | 71069 | 10 |
| 7039 | 71081 | 12 |
| 7040 | 71089 | 8 |
| 7041 | 71119 | 30 |
| 7042 | 71129 | 10 |
| 7043 | 71143 | 14 |
| 7044 | 71147 | 4 |
Questions
What is the 7041st prime number?
71119.
Which prime number is 71119?
71119 is the 7041st prime number.
What is the sum of the first 7041 primes?
236,367,920.