What is the 5055th prime number?
The 5055th prime number is 49177. The next prime is 49193 (a gap of 16) and the one before is 49171.
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 5055th one is 49177.
- 2
49177 is prime because no prime up to ā49177 ā 221.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5055th prime is close to 5055 Ć ln(5055) ā 43110, and here it is 49177.
- 4
49177 has no twin: neither 49175 nor 49179 is prime.
Primes around the 5055th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5052 | 49157 | 18 |
| 5053 | 49169 | 12 |
| 5054 | 49171 | 2 |
| 5055 | 49177 | 6 |
| 5056 | 49193 | 16 |
| 5057 | 49199 | 6 |
| 5058 | 49201 | 2 |
Questions
What is the 5055th prime number?
49177.
Which prime number is 49177?
49177 is the 5055th prime number.
What is the sum of the first 5055 primes?
117,145,006.