What is the 5110th prime number?
The 5110th prime number is 49757. The next prime is 49783 (a gap of 26) and the one before is 49747.
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 5110th one is 49757.
- 2
49757 is prime because no prime up to ā49757 ā 223.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5110th prime is close to 5110 Ć ln(5110) ā 43634, and here it is 49757.
- 4
49757 has no twin: neither 49755 nor 49759 is prime.
Primes around the 5110th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5107 | 49739 | 12 |
| 5108 | 49741 | 2 |
| 5109 | 49747 | 6 |
| 5110 | 49757 | 10 |
| 5111 | 49783 | 26 |
| 5112 | 49787 | 4 |
| 5113 | 49789 | 2 |
Questions
What is the 5110th prime number?
49757.
Which prime number is 49757?
49757 is the 5110th prime number.
What is the sum of the first 5110 primes?
119,866,015.