Antrim
Armagh
Carlow
Cavan
Clare
Cork
Donegal
Down
Dublin
Fermanagh
Galway
Kerry
Kildare
Kilkenny
Laois
Leitrim
Limerick
Londonderry
Longford
Louth
Mayo
Meath
Monaghan
Offaly
Roscommon
Sligo
Tipperary
Tyrone
Waterford
Westmeath
Wexford
Wicklow
Obviously this puzzle would have been trivial if you hadn't got the 13th digit wrong.