What is the 5310th prime number?
The 5310th prime number is 51899. The next prime is 51907 (a gap of 8) and the one before is 51893.
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 5310th one is 51899.
- 2
51899 is prime because no prime up to ā51899 ā 227.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5310th prime is close to 5310 Ć ln(5310) ā 45546, and here it is 51899.
- 4
51899 has no twin: neither 51897 nor 51901 is prime.
Primes around the 5310th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5307 | 51869 | 10 |
| 5308 | 51871 | 2 |
| 5309 | 51893 | 22 |
| 5310 | 51899 | 6 |
| 5311 | 51907 | 8 |
| 5312 | 51913 | 6 |
| 5313 | 51929 | 16 |
Questions
What is the 5310th prime number?
51899.
Which prime number is 51899?
51899 is the 5310th prime number.
What is the sum of the first 5310 primes?
130,035,433.