What is the 5603rd prime number?
The 5603rd prime number is 55127. The next prime is 55147 (a gap of 20) and the one before is 55117.
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 5603rd one is 55127.
- 2
55127 is prime because no prime up to ā55127 ā 234.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5603rd prime is close to 5603 Ć ln(5603) ā 48360, and here it is 55127.
- 4
55127 has no twin: neither 55125 nor 55129 is prime.
Primes around the 5603rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5600 | 55103 | 24 |
| 5601 | 55109 | 6 |
| 5602 | 55117 | 8 |
| 5603 | 55127 | 10 |
| 5604 | 55147 | 20 |
| 5605 | 55163 | 16 |
| 5606 | 55171 | 8 |
Questions
What is the 5603rd prime number?
55127.
Which prime number is 55127?
55127 is the 5603rd prime number.
What is the sum of the first 5603 primes?
145,719,952.