What is the 5054th prime number?
The 5054th prime number is 49171. The next prime is 49177 (a gap of 6) and the one before is 49169.
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 5054th one is 49171.
- 2
49171 is prime because no prime up to ā49171 ā 221.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5054th prime is close to 5054 Ć ln(5054) ā 43100, and here it is 49171.
- 4
49171 is a twin prime: 49169 and 49171 are both prime.
Primes around the 5054th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5051 | 49139 | 16 |
| 5052 | 49157 | 18 |
| 5053 | 49169 | 12 |
| 5054 | 49171 | 2 |
| 5055 | 49177 | 6 |
| 5056 | 49193 | 16 |
| 5057 | 49199 | 6 |
Questions
What is the 5054th prime number?
49171.
Which prime number is 49171?
49171 is the 5054th prime number.
What is the sum of the first 5054 primes?
117,095,829.