What is the 5106th prime number?
The 5106th prime number is 49727. The next prime is 49739 (a gap of 12) and the one before is 49711.
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 5106th one is 49727.
- 2
49727 is prime because no prime up to ā49727 ā 223.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5106th prime is close to 5106 Ć ln(5106) ā 43596, and here it is 49727.
- 4
49727 has no twin: neither 49725 nor 49729 is prime.
Primes around the 5106th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5103 | 49681 | 12 |
| 5104 | 49697 | 16 |
| 5105 | 49711 | 14 |
| 5106 | 49727 | 16 |
| 5107 | 49739 | 12 |
| 5108 | 49741 | 2 |
| 5109 | 49747 | 6 |
Questions
What is the 5106th prime number?
49727.
Which prime number is 49727?
49727 is the 5106th prime number.
What is the sum of the first 5106 primes?
119,667,031.