What is the 5109th prime number?
The 5109th prime number is 49747. The next prime is 49757 (a gap of 10) and the one before is 49741.
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 5109th one is 49747.
- 2
49747 is prime because no prime up to ā49747 ā 223.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5109th prime is close to 5109 Ć ln(5109) ā 43625, and here it is 49747.
- 4
49747 has no twin: neither 49745 nor 49749 is prime.
Primes around the 5109th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5106 | 49727 | 16 |
| 5107 | 49739 | 12 |
| 5108 | 49741 | 2 |
| 5109 | 49747 | 6 |
| 5110 | 49757 | 10 |
| 5111 | 49783 | 26 |
| 5112 | 49787 | 4 |
Questions
What is the 5109th prime number?
49747.
Which prime number is 49747?
49747 is the 5109th prime number.
What is the sum of the first 5109 primes?
119,816,258.