What is the 5402nd prime number?
The 5402nd prime number is 52951. The next prime is 52957 (a gap of 6) and the one before is 52937.
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 5402nd one is 52951.
- 2
52951 is prime because no prime up to ā52951 ā 230.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5402nd prime is close to 5402 Ć ln(5402) ā 46428, and here it is 52951.
- 4
52951 has no twin: neither 52949 nor 52953 is prime.
Primes around the 5402nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5399 | 52903 | 2 |
| 5400 | 52919 | 16 |
| 5401 | 52937 | 18 |
| 5402 | 52951 | 14 |
| 5403 | 52957 | 6 |
| 5404 | 52963 | 6 |
| 5405 | 52967 | 4 |
Questions
What is the 5402nd prime number?
52951.
Which prime number is 52951?
52951 is the 5402nd prime number.
What is the sum of the first 5402 primes?
134,858,899.