What is the 5925th prime number?
The 5925th prime number is 58543. The next prime is 58549 (a gap of 6) and the one before is 58537.
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 5925th one is 58543.
- 2
58543 is prime because no prime up to ā58543 ā 241.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5925th prime is close to 5925 Ć ln(5925) ā 51470, and here it is 58543.
- 4
58543 has no twin: neither 58541 nor 58545 is prime.
Primes around the 5925th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5922 | 58481 | 4 |
| 5923 | 58511 | 30 |
| 5924 | 58537 | 26 |
| 5925 | 58543 | 6 |
| 5926 | 58549 | 6 |
| 5927 | 58567 | 18 |
| 5928 | 58573 | 6 |
Questions
What is the 5925th prime number?
58543.
Which prime number is 58543?
58543 is the 5925th prime number.
What is the sum of the first 5925 primes?
164,026,036.