What is the 5401st prime number?
The 5401st prime number is 52937. The next prime is 52951 (a gap of 14) and the one before is 52919.
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 5401st one is 52937.
- 2
52937 is prime because no prime up to ā52937 ā 230.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5401st prime is close to 5401 Ć ln(5401) ā 46418, and here it is 52937.
- 4
52937 has no twin: neither 52935 nor 52939 is prime.
Primes around the 5401st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5398 | 52901 | 12 |
| 5399 | 52903 | 2 |
| 5400 | 52919 | 16 |
| 5401 | 52937 | 18 |
| 5402 | 52951 | 14 |
| 5403 | 52957 | 6 |
| 5404 | 52963 | 6 |
Questions
What is the 5401st prime number?
52937.
Which prime number is 52937?
52937 is the 5401st prime number.
What is the sum of the first 5401 primes?
134,805,948.