Yep there was a pope that was appointed by Jesus himself (Peter). The name of the second pope was a guy named Linus.
Here's a list i found, with names and dates. If you go to the page and click on each name they will each have a biography.
http://www.newadvent.org/cathen/12272b.htm
Quote:
# St. Peter (32-67)
# St. Linus (67-76)
# St. Anacletus (Cletus) (76-88)
# St. Clement I (88-97)
# St. Evaristus (97-105)
# St. Alexander I (105-115)
# St. Sixtus I (115-125) -- also called Xystus I
# St. Telesphorus (125-136)
# St. Hyginus (136-140)
# St. Pius I (140-155)
# St. Anicetus (155-166)
# St. Soter (166-175)
# St. Eleutherius (175-189)
# St. Victor I (189-199)
# St. Zephyrinus (199-217)
# St. Callistus I (217-22)
# St. Urban I (222-30)
# St. Pontain (230-35)
# St. Anterus (235-36)
# St. Fabian (236-50)
# St. Cornelius (251-53)
# St. Lucius I (253-54)
# St. Stephen I (254-257)
# St. Sixtus II (257-258)
# St. Dionysius (260-268)
# St. Felix I (269-274)
# St. Eutychian (275-283)
# St. Caius (283-296) -- also called Gaius
# St. Marcellinus (296-304)
# St. Marcellus I (308-309)
# St. Eusebius (309 or 310)
# St. Miltiades (311-14)
# St. Sylvester I (314-35)
# St. Marcus (336)
# St. Julius I (337-52)
# Liberius (352-66)
# St. Damasus I (366-83)
# St. Siricius (384-99)
# St. Anastasius I (399-401)
# St. Innocent I (401-17)
# St. Zosimus (417-18)
# St. Boniface I (418-22)
# St. Celestine I (422-32)
# St. Sixtus III (432-40)
# St. Leo I (the Great) (440-61)
# St. Hilarius (461-68)
# St. Simplicius (468-83)
# St. Felix III (II) (483-92)
# St. Gelasius I (492-96)
# Anastasius II (496-98)
# St. Symmachus (498-514)
# St. Hormisdas (514-23)
# St. John I (523-26)
# St. Felix IV (III) (526-30)
# Boniface II (530-32)
# John II (533-35)
# St. Agapetus I (535-36) -- also called Agapitus I
# St. Silverius (536-37)
# Vigilius (537-55)
# Pelagius I (556-61)
# John III (561-74)
# Benedict I (575-79)
# Pelagius II (579-90)
# St. Gregory I (the Great) (590-604)
# Sabinian (604-606)
# Boniface III (607)
# St. Boniface IV (608-15)
# St. Deusdedit (Adeodatus I) (615-18)
# Boniface V (619-25)
# Honorius I (625-38)
# Severinus (640)
# John IV (640-42)
# Theodore I (642-49)
# St. Martin I (649-55)
# St. Eugene I (655-57)
# St. Vitalian (657-72)
# Adeodatus (II) (672-76)
# Donus (676-78)
# St. Agatho (678-81)
# St. Leo II (682-83)
# St. Benedict II (684-85)
# John V (685-86)
# Conon (686-87)
# St. Sergius I (687-701)
# John VI (701-05)
# John VII (705-07)
# Sisinnius (708)
# Constantine (708-15)
# St. Gregory II (715-31)
# St. Gregory III (731-41)
# St. Zachary (741-52)
Stephen II (752) -- Omitted from many lists (including the Vatican's) because he died before being consecrated.
# Stephen III (752-57)
# St. Paul I (757-67)
# Stephen IV (767-72)
# Adrian I (772-95)
# St. Leo III (795-816)
# Stephen V (816-17)
# St. Paschal I (817-24)
# Eugene II (824-27)
# Valentine (827)
# Gregory IV (827-44)
# Sergius II (844-47)
# St. Leo IV (847-55)
# Benedict III (855-58)
# St. Nicholas I (the Great) (858-67)
# Adrian II (867-72)
# John VIII (872-82)
# Marinus I (882-84)
# St. Adrian III (884-85)
# Stephen VI (885-91)
# Formosus (891-96)
# Boniface VI (896)
# Stephen VII (896-97)
# Romanus (897)
# Theodore II (897)
# John IX (898-900)
# Benedict IV (900-03)
# Leo V (903)
# Sergius III (904-11)
# Anastasius III (911-13)
# Lando (913-14)
# John X (914-28)
# Leo VI (928)
# Stephen VIII (929-31)
# John XI (931-35)
# Leo VII (936-39)
# Stephen IX (939-42)
# Marinus II (942-46)
# Agapetus II (946-55)
# John XII (955-63)
# Leo VIII (963-64)
# Benedict V (964)
# John XIII (965-72)
# Benedict VI (973-74)
# Benedict VII (974-83)
# John XIV (983-84)
# John XV (985-96)
# Gregory V (996-99)
# Sylvester II (999-1003)
# John XVII (1003)
# John XVIII (1003-09)
# Sergius IV (1009-12)
# Benedict VIII (1012-24)
# John XIX (1024-32)
# Benedict IX (1032-45)
# Sylvester III (1045) -- Considered by some to be an antipope
# Benedict IX (1045)
# Gregory VI (1045-46)
# Clement II (1046-47)
# Benedict IX (1047-48)
# Damasus II (1048)
# St. Leo IX (1049-54)
# Victor II (1055-57)
# Stephen X (1057-58)
# Nicholas II (1058-61)
# Alexander II (1061-73)
# St. Gregory VII (1073-85)
# Blessed Victor III (1086-87)
# Blessed Urban II (1088-99)
# Paschal II (1099-1118)
# Gelasius II (1118-19)
# Callistus II (1119-24)
# Honorius II (1124-30)
# Innocent II (1130-43)
# Celestine II (1143-44)
# Lucius II (1144-45)
# Blessed Eugene III (1145-53)
# Anastasius IV (1153-54)
# Adrian IV (1154-59)
# Alexander III (1159-81)
# Lucius III (1181-85)
# Urban III (1185-87)
# Gregory VIII (1187)
# Clement III (1187-91)
# Celestine III (1191-98)
# Innocent III (1198-1216)
# Honorius III (1216-27)
# Gregory IX (1227-41)
# Celestine IV (1241)
# Innocent IV (1243-54)
# Alexander IV (1254-61)
# Urban IV (1261-64)
# Clement IV (1265-68)
# Blessed Gregory X (1271-76)
# Blessed Innocent V (1276)
# Adrian V (1276)
# John XXI (1276-77)
# Nicholas III (1277-80)
# Martin IV (1281-85)
# Honorius IV (1285-87)
# Nicholas IV (1288-92)
# St. Celestine V (1294)
# Boniface VIII (1294-1303)
# Blessed Benedict XI (1303-04)
# Clement V (1305-14)
# John XXII (1316-34)
# Benedict XII (1334-42)
# Clement VI (1342-52)
# Innocent VI (1352-62)
# Blessed Urban V (1362-70)
# Gregory XI (1370-78)
# Urban VI (1378-89)
# Boniface IX (1389-1404)
# Innocent VII (1404-06)
# Gregory XII (1406-15)
# Martin V (1417-31)
# Eugene IV (1431-47)
# Nicholas V (1447-55)
# Callistus III (1455-58)
# Pius II (1458-64)
# Paul II (1464-71)
# Sixtus IV (1471-84)
# Innocent VIII (1484-92)
# Alexander VI (1492-1503)
# Pius III (1503)
# Julius II (1503-13)
# Leo X (1513-21)
# Adrian VI (1522-23)
# Clement VII (1523-34)
# Paul III (1534-49)
# Julius III (1550-55)
# Marcellus II (1555)
# Paul IV (1555-59)
# Pius IV (1559-65)
# St. Pius V (1566-72)
# Gregory XIII (1572-85)
# Sixtus V (1585-90)
# Urban VII (1590)
# Gregory XIV (1590-91)
# Innocent IX (1591)
# Clement VIII (1592-1605)
# Leo XI (1605)
# Paul V (1605-21)
# Gregory XV (1621-23)
# Urban VIII (1623-44)
# Innocent X (1644-55)
# Alexander VII (1655-67)
# Clement IX (1667-69)
# Clement X (1670-76)
# Blessed Innocent XI (1676-89)
# Alexander VIII (1689-91)
# Innocent XII (1691-1700)
# Clement XI (1700-21)
# Innocent XIII (1721-24)
# Benedict XIII (1724-30)
# Clement XII (1730-40)
# Benedict XIV (1740-58)
# Clement XIII (1758-69)
# Clement XIV (1769-74)
# Pius VI (1775-99)
# Pius VII (1800-23)
# Leo XII (1823-29)
# Pius VIII (1829-30)
# Gregory XVI (1831-46)
# Blessed Pius IX (1846-78)
# Leo XIII (1878-1903)
# St. Pius X (1903-14)
# Benedict XV (1914-22)
# Pius XI (1922-39)
# Pius XII (1939-58)
# Blessed John XXIII (1958-63)
# Paul VI (1963-78)
# John Paul I (1978)
# John Paul II (1978-2005)
# Benedict XVI (2005—)
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