What is the 5926th prime number?
The 5926th prime number is 58549. The next prime is 58567 (a gap of 18) and the one before is 58543.
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 5926th one is 58549.
- 2
58549 is prime because no prime up to ā58549 ā 241.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5926th prime is close to 5926 Ć ln(5926) ā 51480, and here it is 58549.
- 4
58549 has no twin: neither 58547 nor 58551 is prime.
Primes around the 5926th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5923 | 58511 | 30 |
| 5924 | 58537 | 26 |
| 5925 | 58543 | 6 |
| 5926 | 58549 | 6 |
| 5927 | 58567 | 18 |
| 5928 | 58573 | 6 |
| 5929 | 58579 | 6 |
Questions
What is the 5926th prime number?
58549.
Which prime number is 58549?
58549 is the 5926th prime number.
What is the sum of the first 5926 primes?
164,084,585.