What is the 5047th prime number?
The 5047th prime number is 49109. The next prime is 49117 (a gap of 8) and the one before is 49103.
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 5047th one is 49109.
- 2
49109 is prime because no prime up to ā49109 ā 221.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5047th prime is close to 5047 Ć ln(5047) ā 43033, and here it is 49109.
- 4
49109 has no twin: neither 49107 nor 49111 is prime.
Primes around the 5047th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5044 | 49069 | 12 |
| 5045 | 49081 | 12 |
| 5046 | 49103 | 22 |
| 5047 | 49109 | 6 |
| 5048 | 49117 | 8 |
| 5049 | 49121 | 4 |
| 5050 | 49123 | 2 |
Questions
What is the 5047th prime number?
49109.
Which prime number is 49109?
49109 is the 5047th prime number.
What is the sum of the first 5047 primes?
116,751,832.