What is the 5045th prime number?
The 5045th prime number is 49081. The next prime is 49103 (a gap of 22) and the one before is 49069.
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 5045th one is 49081.
- 2
49081 is prime because no prime up to ā49081 ā 221.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5045th prime is close to 5045 Ć ln(5045) ā 43014, and here it is 49081.
- 4
49081 has no twin: neither 49079 nor 49083 is prime.
Primes around the 5045th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5042 | 49043 | 6 |
| 5043 | 49057 | 14 |
| 5044 | 49069 | 12 |
| 5045 | 49081 | 12 |
| 5046 | 49103 | 22 |
| 5047 | 49109 | 6 |
| 5048 | 49117 | 8 |
Questions
What is the 5045th prime number?
49081.
Which prime number is 49081?
49081 is the 5045th prime number.
What is the sum of the first 5045 primes?
116,653,620.