What is the 5048th prime number?
The 5048th prime number is 49117. The next prime is 49121 (a gap of 4) and the one before is 49109.
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 5048th one is 49117.
- 2
49117 is prime because no prime up to ā49117 ā 221.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5048th prime is close to 5048 Ć ln(5048) ā 43043, and here it is 49117.
- 4
49117 has no twin: neither 49115 nor 49119 is prime.
Primes around the 5048th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5045 | 49081 | 12 |
| 5046 | 49103 | 22 |
| 5047 | 49109 | 6 |
| 5048 | 49117 | 8 |
| 5049 | 49121 | 4 |
| 5050 | 49123 | 2 |
| 5051 | 49139 | 16 |
Questions
What is the 5048th prime number?
49117.
Which prime number is 49117?
49117 is the 5048th prime number.
What is the sum of the first 5048 primes?
116,800,949.