What is the 5049th prime number?
The 5049th prime number is 49121. The next prime is 49123 (a gap of 2) and the one before is 49117.
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 5049th one is 49121.
- 2
49121 is prime because no prime up to ā49121 ā 221.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5049th prime is close to 5049 Ć ln(5049) ā 43053, and here it is 49121.
- 4
49121 is a twin prime: 49121 and 49123 are both prime.
Primes around the 5049th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5046 | 49103 | 22 |
| 5047 | 49109 | 6 |
| 5048 | 49117 | 8 |
| 5049 | 49121 | 4 |
| 5050 | 49123 | 2 |
| 5051 | 49139 | 16 |
| 5052 | 49157 | 18 |
Questions
What is the 5049th prime number?
49121.
Which prime number is 49121?
49121 is the 5049th prime number.
What is the sum of the first 5049 primes?
116,850,070.