What is the 5111th prime number?
The 5111th prime number is 49783. The next prime is 49787 (a gap of 4) and the one before is 49757.
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 5111th one is 49783.
- 2
49783 is prime because no prime up to ā49783 ā 223.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5111th prime is close to 5111 Ć ln(5111) ā 43644, and here it is 49783.
- 4
49783 has no twin: neither 49781 nor 49785 is prime.
Primes around the 5111th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5108 | 49741 | 2 |
| 5109 | 49747 | 6 |
| 5110 | 49757 | 10 |
| 5111 | 49783 | 26 |
| 5112 | 49787 | 4 |
| 5113 | 49789 | 2 |
| 5114 | 49801 | 12 |
Questions
What is the 5111th prime number?
49783.
Which prime number is 49783?
49783 is the 5111th prime number.
What is the sum of the first 5111 primes?
119,915,798.