What is the 5044th prime number?
The 5044th prime number is 49069. The next prime is 49081 (a gap of 12) and the one before is 49057.
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 5044th one is 49069.
- 2
49069 is prime because no prime up to ā49069 ā 221.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5044th prime is close to 5044 Ć ln(5044) ā 43005, and here it is 49069.
- 4
49069 has no twin: neither 49067 nor 49071 is prime.
Primes around the 5044th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5041 | 49037 | 4 |
| 5042 | 49043 | 6 |
| 5043 | 49057 | 14 |
| 5044 | 49069 | 12 |
| 5045 | 49081 | 12 |
| 5046 | 49103 | 22 |
| 5047 | 49109 | 6 |
Questions
What is the 5044th prime number?
49069.
Which prime number is 49069?
49069 is the 5044th prime number.
What is the sum of the first 5044 primes?
116,604,539.