What is the 5923rd prime number?
The 5923rd prime number is 58511. The next prime is 58537 (a gap of 26) and the one before is 58481.
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 5923rd one is 58511.
- 2
58511 is prime because no prime up to ā58511 ā 241.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5923rd prime is close to 5923 Ć ln(5923) ā 51451, and here it is 58511.
- 4
58511 has no twin: neither 58509 nor 58513 is prime.
Primes around the 5923rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5920 | 58453 | 2 |
| 5921 | 58477 | 24 |
| 5922 | 58481 | 4 |
| 5923 | 58511 | 30 |
| 5924 | 58537 | 26 |
| 5925 | 58543 | 6 |
| 5926 | 58549 | 6 |
Questions
What is the 5923rd prime number?
58511.
Which prime number is 58511?
58511 is the 5923rd prime number.
What is the sum of the first 5923 primes?
163,908,956.