There was an interesting article in the Irish Times regarding entitlement to a Non-Contributory State Pension in Ireland. https://bit.ly/2Fy0L1s
If you have not made PRSI contributions you may still qualify for a non-contributory state pension, the weekly rate of which is only slightly lower than the contributory state pension. The catch is however, that the non-contributory pension is subject to a means test. Also you must be resident in Ireland to get a non-contributory pension, whereas with a contributory pension you can live out of Ireland and still get the contributory pension payment. The contributory state pension is also not subject to a means test.
In accessing means for the non-contributory state pension, the family home is disregarded as is the first €20,000 of capital, such as cash savings. You can also earn up to €200 per week from a job and still be entitled to a non-contributory pension. After €20,000 capital, which is disregarded, every €1000 of capital for amounts between €20,000 and €30,000 is assessed as means of €1 per week, the assessment of means is €2, for amounts from €30,000 and €40,000, and €4 per week for amounts over €40,000.
At it’s maximum, the non-contributory state pension is worth €12,064 p.a.