What is the 941st prime number?
The 941st prime number is 7417. The next prime is 7433 (a gap of 16) and the one before is 7411.
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 941st one is 7417.
- 2
7417 is prime because no prime up to ā7417 ā 86.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 941st prime is close to 941 Ć ln(941) ā 6443, and here it is 7417.
- 4
7417 has no twin: neither 7415 nor 7419 is prime.
Primes around the 941st
| Position | Prime | Gap from the previous |
|---|---|---|
| 938 | 7369 | 18 |
| 939 | 7393 | 24 |
| 940 | 7411 | 18 |
| 941 | 7417 | 6 |
| 942 | 7433 | 16 |
| 943 | 7451 | 18 |
| 944 | 7457 | 6 |
Questions
What is the 941st prime number?
7417.
Which prime number is 7417?
7417 is the 941st prime number.
What is the sum of the first 941 primes?
3,230,804.